diff --git a/cvat-ui/src/actions/annotation-actions.ts b/cvat-ui/src/actions/annotation-actions.ts
index 2652cee3..4041973d 100644
--- a/cvat-ui/src/actions/annotation-actions.ts
+++ b/cvat-ui/src/actions/annotation-actions.ts
@@ -318,6 +318,7 @@ export function updateCanvasContextMenu(
     left: number,
     top: number,
     type?: ContextMenuType,
+    pointID?: number,
 ): AnyAction {
     return {
         type: AnnotationActionTypes.UPDATE_CANVAS_CONTEXT_MENU,
@@ -326,6 +327,7 @@ export function updateCanvasContextMenu(
             left,
             top,
             type,
+            pointID,
         },
     };
 }
diff --git a/cvat-ui/src/components/annotation-page/standard-workspace/canvas-point-context-menu.tsx b/cvat-ui/src/components/annotation-page/standard-workspace/canvas-point-context-menu.tsx
index 4ce488f3..b2cf338d 100644
--- a/cvat-ui/src/components/annotation-page/standard-workspace/canvas-point-context-menu.tsx
+++ b/cvat-ui/src/components/annotation-page/standard-workspace/canvas-point-context-menu.tsx
@@ -5,16 +5,21 @@
 import React from 'react';
 import ReactDOM from 'react-dom';
 
+import {
+    Button,
+} from 'antd';
 
 interface Props {
     activatedStateID: number | null;
     visible: boolean;
     left: number;
     top: number;
+    onPointDelete(): void;
 }
 
 export default function CanvasPointContextMenu(props: Props): JSX.Element | null {
     const {
+        onPointDelete,
         activatedStateID,
         visible,
         left,
@@ -27,7 +32,9 @@ export default function CanvasPointContextMenu(props: Props): JSX.Element | null
 
     return ReactDOM.createPortal(
         <div className='cvat-canvas-point-context-menu' style={{ top, left }}>
-            <span>Haha</span>
+            <Button type='link' icon='delete' onClick={onPointDelete}>
+                Delete point
+            </Button>
         </div>,
         window.document.body,
     );
diff --git a/cvat-ui/src/components/annotation-page/standard-workspace/canvas-wrapper.tsx b/cvat-ui/src/components/annotation-page/standard-workspace/canvas-wrapper.tsx
index f74e2c2c..0aedbdb0 100644
--- a/cvat-ui/src/components/annotation-page/standard-workspace/canvas-wrapper.tsx
+++ b/cvat-ui/src/components/annotation-page/standard-workspace/canvas-wrapper.tsx
@@ -18,16 +18,10 @@ import {
     GridColor,
     ObjectType,
     ContextMenuType,
-    Workspace
+    Workspace,
 } from 'reducers/interfaces';
 import { Canvas } from 'cvat-canvas';
 import getCore from 'cvat-core';
-import {
-    ColorBy,
-    GridColor,
-    ObjectType,
-    Workspace,
-} from 'reducers/interfaces';
 
 const cvat = getCore();
 
@@ -81,7 +75,8 @@ interface Props {
     onSplitAnnotations(sessionInstance: any, frame: number, state: any): void;
     onActivateObject(activatedStateID: number | null): void;
     onSelectObjects(selectedStatesID: number[]): void;
-    onUpdateContextMenu(visible: boolean, left: number, top: number, type: ContextMenuType): void;
+    onUpdateContextMenu(visible: boolean, left: number, top: number, type: ContextMenuType,
+        pointID?: number): void;
     onAddZLayer(): void;
     onSwitchZLayer(cur: number): void;
     onChangeBrightnessLevel(level: number): void;
@@ -333,8 +328,17 @@ export default class CanvasWrapperComponent extends React.PureComponent<Props> {
     };
 
     private onCanvasContextMenu = (e: MouseEvent): void => {
-        const { activatedStateID, onUpdateContextMenu } = this.props;
-        onUpdateContextMenu(activatedStateID !== null, e.clientX, e.clientY);
+        const {
+            activatedStateID,
+            onUpdateContextMenu,
+            contextVisible,
+            contextType,
+        } = this.props;
+
+        if (!contextVisible && contextType !== ContextMenuType.CANVAS_SHAPE_POINT) {
+            onUpdateContextMenu(activatedStateID !== null, e.clientX, e.clientY,
+                ContextMenuType.CANVAS_SHAPE);
+        }
     };
 
     private onCanvasShapeClicked = (e: any): void => {
@@ -460,6 +464,16 @@ export default class CanvasWrapperComponent extends React.PureComponent<Props> {
         }
     };
 
+    private onCanvasPointContextMenu = (e: any): void => {
+        const {
+            activatedStateID,
+            onUpdateContextMenu,
+        } = this.props;
+
+        onUpdateContextMenu(activatedStateID !== null, e.detail.mouseEvent.clientX,
+            e.detail.mouseEvent.clientY, ContextMenuType.CANVAS_SHAPE_POINT, e.detail.pointID);
+    };
+
     private activateOnCanvas(): void {
         const {
             activatedStateID,
@@ -599,6 +613,8 @@ export default class CanvasWrapperComponent extends React.PureComponent<Props> {
         canvasInstance.html().addEventListener('canvas.merged', this.onCanvasObjectsMerged);
         canvasInstance.html().addEventListener('canvas.groupped', this.onCanvasObjectsGroupped);
         canvasInstance.html().addEventListener('canvas.splitted', this.onCanvasTrackSplitted);
+
+        canvasInstance.html().addEventListener('point.contextmenu', this.onCanvasPointContextMenu);
     }
 
     public render(): JSX.Element {
diff --git a/cvat-ui/src/components/annotation-page/standard-workspace/standard-workspace.tsx b/cvat-ui/src/components/annotation-page/standard-workspace/standard-workspace.tsx
index e9bfd6c4..5cfcba47 100644
--- a/cvat-ui/src/components/annotation-page/standard-workspace/standard-workspace.tsx
+++ b/cvat-ui/src/components/annotation-page/standard-workspace/standard-workspace.tsx
@@ -14,6 +14,7 @@ import ControlsSideBarContainer from 'containers/annotation-page/standard-worksp
 import ObjectSideBarContainer from 'containers/annotation-page/standard-workspace/objects-side-bar/objects-side-bar';
 import PropagateConfirmContainer from 'containers/annotation-page/standard-workspace/propagate-confirm';
 import CanvasContextMenuContainer from 'containers/annotation-page/standard-workspace/canvas-context-menu';
+import CanvasPointContextMenuContainer from 'containers/annotation-page/standard-workspace/canvas-point-context-menu';
 
 export default function StandardWorkspaceComponent(): JSX.Element {
     return (
@@ -23,6 +24,7 @@ export default function StandardWorkspaceComponent(): JSX.Element {
             <ObjectSideBarContainer />
             <PropagateConfirmContainer />
             <CanvasContextMenuContainer />
+            <CanvasPointContextMenuContainer />
         </Layout>
     );
 }
diff --git a/cvat-ui/src/components/annotation-page/standard-workspace/styles.scss b/cvat-ui/src/components/annotation-page/standard-workspace/styles.scss
index 5f276eb5..1dd7d769 100644
--- a/cvat-ui/src/components/annotation-page/standard-workspace/styles.scss
+++ b/cvat-ui/src/components/annotation-page/standard-workspace/styles.scss
@@ -136,10 +136,12 @@
 .cvat-canvas-point-context-menu {
     opacity: 0.6;
     position: fixed;
-    width: 100px;
+    width: 135px;
     z-index: 10;
     max-height: 50%;
     overflow-y: auto;
+    background-color: #ffffff;
+    border-radius: 4px;
 
     &:hover {
         opacity: 1;
diff --git a/cvat-ui/src/containers/annotation-page/standard-workspace/canvas-context-menu.tsx b/cvat-ui/src/containers/annotation-page/standard-workspace/canvas-context-menu.tsx
index 7bd7b9fb..3d0a508c 100644
--- a/cvat-ui/src/containers/annotation-page/standard-workspace/canvas-context-menu.tsx
+++ b/cvat-ui/src/containers/annotation-page/standard-workspace/canvas-context-menu.tsx
@@ -8,7 +8,6 @@ import { connect } from 'react-redux';
 import { CombinedState, ContextMenuType } from 'reducers/interfaces';
 
 import CanvasContextMenuComponent from 'components/annotation-page/standard-workspace/canvas-context-menu';
-import CanvasPointContextMenuComponent from 'components/annotation-page/standard-workspace/canvas-point-context-menu';
 
 interface StateToProps {
     activatedStateID: number | null;
@@ -183,12 +182,16 @@ class CanvasContextMenuContainer extends React.PureComponent<Props, State> {
         } = this.props;
 
         return (
-            <CanvasContextMenuComponent
-                left={left}
-                top={top}
-                visible={visible}
-                activatedStateID={activatedStateID}
-            />
+            <>
+                { type === ContextMenuType.CANVAS_SHAPE && (
+                    <CanvasContextMenuComponent
+                        left={left}
+                        top={top}
+                        visible={visible}
+                        activatedStateID={activatedStateID}
+                    />
+                )}
+            </>
         );
     }
 }
diff --git a/cvat-ui/src/containers/annotation-page/standard-workspace/canvas-point-context-menu.tsx b/cvat-ui/src/containers/annotation-page/standard-workspace/canvas-point-context-menu.tsx
new file mode 100644
index 00000000..74d07ff8
--- /dev/null
+++ b/cvat-ui/src/containers/annotation-page/standard-workspace/canvas-point-context-menu.tsx
@@ -0,0 +1,180 @@
+// Copyright (C) 2020 Intel Corporation
+//
+// SPDX-License-Identifier: MIT
+
+import React from 'react';
+
+import { connect } from 'react-redux';
+import { CombinedState, ContextMenuType } from 'reducers/interfaces';
+
+import { updateAnnotationsAsync, updateCanvasContextMenu } from 'actions/annotation-actions';
+
+import CanvasPointContextMenuComponent from 'components/annotation-page/standard-workspace/canvas-point-context-menu';
+
+interface StateToProps {
+    activatedStateID: number | null;
+    activetedPointID: number | null | undefined;
+    states: any[];
+    visible: boolean;
+    top: number;
+    left: number;
+    type: ContextMenuType;
+}
+
+function mapStateToProps(state: CombinedState): StateToProps {
+    const {
+        annotation: {
+            annotations: {
+                states,
+                activatedStateID,
+            },
+            canvas: {
+                contextMenu: {
+                    visible,
+                    top,
+                    left,
+                    type,
+                    pointID: activetedPointID,
+                },
+            },
+        },
+    } = state;
+
+    return {
+        activatedStateID,
+        activetedPointID,
+        states,
+        visible,
+        left,
+        top,
+        type,
+    };
+}
+
+interface DispatchToProps {
+    onUpdateAnnotations(states: any[]): void;
+    onCloseContextMenu(): void;
+}
+
+function mapDispatchToProps(dispatch: any): DispatchToProps {
+    return {
+        onUpdateAnnotations(states: any[]): void {
+            dispatch(updateAnnotationsAsync(states));
+        },
+        onCloseContextMenu(): void {
+            dispatch(updateCanvasContextMenu(false, 0, 0));
+        },
+    };
+}
+
+type Props = StateToProps & DispatchToProps;
+
+interface State {
+    latestLeft: number;
+    latestTop: number;
+    left: number;
+    top: number;
+}
+
+class CanvasContextMenuContainer extends React.PureComponent<Props, State> {
+    public constructor(props: Props) {
+        super(props);
+
+        this.state = {
+            latestLeft: 0,
+            latestTop: 0,
+            left: 0,
+            top: 0,
+        };
+    }
+
+    static getDerivedStateFromProps(props: Props, state: State): State | null {
+        if (props.left === state.latestLeft
+            && props.top === state.latestTop) {
+            return null;
+        }
+
+        return {
+            ...state,
+            latestLeft: props.left,
+            latestTop: props.top,
+            top: props.top,
+            left: props.left,
+        };
+    }
+
+    public componentDidUpdate(): void {
+        const {
+            top,
+            left,
+        } = this.state;
+
+        const {
+            innerWidth,
+            innerHeight,
+        } = window;
+
+        const [element] = window.document.getElementsByClassName('cvat-canvas-point-context-menu');
+        if (element) {
+            const height = element.clientHeight;
+            const width = element.clientWidth;
+
+            if (top + height > innerHeight || left + width > innerWidth) {
+                this.setState({
+                    top: top - Math.max(top + height - innerHeight, 0),
+                    left: left - Math.max(left + width - innerWidth, 0),
+                });
+            }
+        }
+    }
+
+    private deletePoint(): void {
+        const {
+            activetedPointID,
+            activatedStateID,
+            states,
+            onUpdateAnnotations,
+            onCloseContextMenu,
+        } = this.props;
+
+        const [objectState] = states.filter((e) => (e.clientID === activatedStateID));
+        if (activetedPointID) {
+            objectState.points = objectState.points.slice(0, activetedPointID * 2)
+                .concat(objectState.points.slice(activetedPointID * 2 + 2));
+            onUpdateAnnotations([objectState]);
+            onCloseContextMenu();
+        }
+    }
+
+    public render(): JSX.Element {
+        const {
+            visible,
+            activatedStateID,
+            type,
+        } = this.props;
+
+        const {
+            top,
+            left,
+        } = this.state;
+
+        return (
+            <>
+                {type === ContextMenuType.CANVAS_SHAPE_POINT && (
+                    <CanvasPointContextMenuComponent
+                        left={left}
+                        top={top}
+                        visible={visible}
+                        activatedStateID={activatedStateID}
+                        onPointDelete={() => this.deletePoint()}
+                    />
+                )}
+            </>
+        );
+    }
+}
+
+export default connect(
+    mapStateToProps,
+    mapDispatchToProps,
+)(CanvasContextMenuContainer);
diff --git a/cvat-ui/src/containers/annotation-page/standard-workspace/canvas-wrapper.tsx b/cvat-ui/src/containers/annotation-page/standard-workspace/canvas-wrapper.tsx
index 7d99f592..89f0af7e 100644
--- a/cvat-ui/src/containers/annotation-page/standard-workspace/canvas-wrapper.tsx
+++ b/cvat-ui/src/containers/annotation-page/standard-workspace/canvas-wrapper.tsx
@@ -96,7 +96,8 @@ interface DispatchToProps {
     onSplitAnnotations(sessionInstance: any, frame: number, state: any): void;
     onActivateObject: (activatedStateID: number | null) => void;
     onSelectObjects: (selectedStatesID: number[]) => void;
-    onUpdateContextMenu(visible: boolean, left: number, top: number, type: ContextMenuType): void;
+    onUpdateContextMenu(visible: boolean, left: number, top: number, type: ContextMenuType,
+        pointID?: number): void;
     onAddZLayer(): void;
     onSwitchZLayer(cur: number): void;
     onChangeBrightnessLevel(level: number): void;
@@ -257,13 +258,9 @@ function mapDispatchToProps(dispatch: any): DispatchToProps {
         onSelectObjects(selectedStatesID: number[]): void {
             dispatch(selectObjects(selectedStatesID));
         },
-        onUpdateContextMenu(
-            visible: boolean,
-            left: number,
-            top: number,
-            type: ContextMenuType,
-        ): void {
-            dispatch(updateCanvasContextMenu(visible, left, top, type));
+        onUpdateContextMenu(visible: boolean, left: number, top: number,
+            type: ContextMenuType, pointID?: number): void {
+            dispatch(updateCanvasContextMenu(visible, left, top, type, pointID));
         },
         onAddZLayer(): void {
             dispatch(addZLayer());
diff --git a/cvat-ui/src/reducers/annotation-reducer.ts b/cvat-ui/src/reducers/annotation-reducer.ts
index 70eaf594..fcb791d1 100644
--- a/cvat-ui/src/reducers/annotation-reducer.ts
+++ b/cvat-ui/src/reducers/annotation-reducer.ts
@@ -26,6 +26,7 @@ const defaultState: AnnotationState = {
             left: 0,
             top: 0,
             type: ContextMenuType.CANVAS_SHAPE,
+            pointID: null,
         },
         instance: new Canvas(),
         ready: false,
@@ -934,6 +935,7 @@ export default (state = defaultState, action: AnyAction): AnnotationState => {
                 left,
                 top,
                 type,
+                pointID,
             } = action.payload;
 
             return {
@@ -946,6 +948,7 @@ export default (state = defaultState, action: AnyAction): AnnotationState => {
                         left,
                         top,
                         type,
+                        pointID,
                     },
                 },
             };
diff --git a/cvat-ui/src/reducers/interfaces.ts b/cvat-ui/src/reducers/interfaces.ts
index 4c308a7b..1b888405 100644
--- a/cvat-ui/src/reducers/interfaces.ts
+++ b/cvat-ui/src/reducers/interfaces.ts
@@ -303,6 +303,7 @@ export interface AnnotationState {
             top: number;
             left: number;
             type: ContextMenuType;
+            pointID: number | null | undefined;
         };
         instance: Canvas;
         ready: boolean;