diff --git a/cvat-ui/src/reducers/notifications-reducer.ts b/cvat-ui/src/reducers/notifications-reducer.ts
index d1e2b602..848548a7 100644
--- a/cvat-ui/src/reducers/notifications-reducer.ts
+++ b/cvat-ui/src/reducers/notifications-reducer.ts
@@ -701,6 +701,7 @@ export default function (state = defaultState, action: AnyAction): Notifications
                         updating: {
                             message: 'Could not update annotations',
                             reason: action.payload.error.toString(),
+                            className: 'cvat-notification-notice-update-annotations-failed',
                         },
                     },
                 },
diff --git a/tests/cypress/integration/actions_tasks_objects/case_34_drawing_with_predefined_number_points.js b/tests/cypress/integration/actions_tasks_objects/case_34_drawing_with_predefined_number_points.js
new file mode 100644
index 00000000..7ba4766f
--- /dev/null
+++ b/tests/cypress/integration/actions_tasks_objects/case_34_drawing_with_predefined_number_points.js
@@ -0,0 +1,113 @@
+// Copyright (C) 2020 Intel Corporation
+//
+// SPDX-License-Identifier: MIT
+
+/// <reference types="cypress" />
+
+import { taskName, labelName } from '../../support/const';
+
+context('Drawing with predefined number of points.', () => {
+    const caseId = '34';
+    const countPointsPolygon = 3;
+    const countPointsPolyline = 2;
+    const countPointsPoint = 1;
+
+    const createPolygonShape = {
+        reDraw: false,
+        type: 'Shape',
+        labelName: labelName,
+        pointsMap: [
+            { x: 500, y: 100 },
+            { x: 600, y: 100 },
+            { x: 500, y: 200 },
+        ],
+        numberOfPoints: 3,
+    };
+    const createPolylinesShape = {
+        type: 'Shape',
+        labelName: labelName,
+        pointsMap: [
+            { x: 500, y: 250 },
+            { x: 600, y: 250 },
+        ],
+        numberOfPoints: 2,
+    };
+    const createPointsShape = {
+        type: 'Shape',
+        labelName: labelName,
+        pointsMap: [{ x: 500, y: 200 }],
+        numberOfPoints: 1,
+    };
+
+    before(() => {
+        cy.openTaskJob(taskName);
+    });
+
+    function tryDrawObjectPredefinedNumberPoints(object, pointsCount) {
+        cy.get(`.cvat-draw-${object}-control`).click().wait(500);
+        cy.get('.cvat-draw-shape-popover')
+            .not('.ant-popover-hidden')
+            .within(() => {
+                cy.get('.cvat-draw-shape-popover-points-selector')
+                    .type(`${pointsCount - 1}`)
+                    .focused()
+                    .tab();
+                cy.get('[role="spinbutton"]').should('have.attr', 'aria-valuenow', pointsCount);
+            });
+    }
+
+    function tryDeletePoint() {
+        let svgJsCircleId = [];
+        cy.get('#cvat_canvas_shape_1').trigger('mousemove').should('have.attr', 'fill-opacity', 0.3);
+        cy.get('circle').then((circle) => {
+            for (let i = 0; i < circle.length; i++) {
+                if (circle[i].id.match(/^SvgjsCircle\d+$/)) {
+                    svgJsCircleId.push(circle[i].id);
+                }
+            }
+            cy.get(`#${svgJsCircleId[0]}`).click({ altKey: true });
+        });
+    }
+
+    function checkNotificationAndClose() {
+        cy.get('.cvat-notification-notice-update-annotations-failed')
+            .should('exist')
+            .within(() => {
+                cy.get('[aria-label="close"]').click();
+            });
+    }
+
+    describe(`Testing case "${caseId}"`, () => {
+        it('Start drawing a polygon. Set "Number of points" less then 3 and press Tab. "Number of points" takes the value 3 automatically.', () => {
+            tryDrawObjectPredefinedNumberPoints('polygon', countPointsPolygon);
+        });
+
+        it('Draw a polygon with 3 points. And try to delete one point. The error notification should appear.', () => {
+            cy.createPolygon(createPolygonShape);
+            tryDeletePoint();
+            checkNotificationAndClose();
+            cy.removeAnnotations(); // Removing the annotation for the convenience of further testing
+        });
+
+        it('Start drawing a polyline. Set "Number of points" less then 2 and press Tab. "Number of points" takes the value 2 automatically.', () => {
+            tryDrawObjectPredefinedNumberPoints('polyline', countPointsPolyline);
+        });
+
+        it('Draw a polyline with 2 points. And try to delete one point. The error notification should appear.', () => {
+            cy.createPolyline(createPolylinesShape);
+            tryDeletePoint();
+            checkNotificationAndClose();
+            cy.removeAnnotations(); // Removing the annotation for the convenience of further testing
+        });
+
+        it('Start drawing a point. Set "Number of points" less then 1 and press Tab. "Number of points" takes the value 1 automatically.', () => {
+            tryDrawObjectPredefinedNumberPoints('points', countPointsPoint);
+        });
+
+        it('Draw a point with 1 points. And try to delete one point. The error notification should appear.', () => {
+            cy.createPoint(createPointsShape);
+            tryDeletePoint();
+            checkNotificationAndClose();
+        });
+    });
+});
diff --git a/tests/cypress/support/commands.js b/tests/cypress/support/commands.js
index 57b7fff2..23106465 100644
--- a/tests/cypress/support/commands.js
+++ b/tests/cypress/support/commands.js
@@ -415,7 +415,7 @@ Cypress.Commands.add('advancedConfiguration', (advancedConfigurationParams) => {
 });
 
 Cypress.Commands.add('removeAnnotations', () => {
-    cy.get('.cvat-annotation-header-button').eq(0).click();
+    cy.contains('.cvat-annotation-header-button', 'Menu').click();
     cy.get('.cvat-annotation-menu').within(() => {
         cy.contains('Remove annotations').click();
     });
diff --git a/tests/cypress/support/index.js b/tests/cypress/support/index.js
index 38656678..3c3aab1b 100644
--- a/tests/cypress/support/index.js
+++ b/tests/cypress/support/index.js
@@ -5,6 +5,7 @@
 require('./commands');
 require('./commands_projects');
 require('@cypress/code-coverage/support');
+require('cypress-plugin-tab');
 
 before(() => {
     if (Cypress.browser.family !== 'chromium') {
diff --git a/tests/package-lock.json b/tests/package-lock.json
index 0b1bc537..2032322d 100644
--- a/tests/package-lock.json
+++ b/tests/package-lock.json
@@ -1510,6 +1510,16 @@
         "uri-js": "^4.2.2"
       }
     },
+    "ally.js": {
+      "version": "1.4.1",
+      "resolved": "https://registry.npmjs.org/ally.js/-/ally.js-1.4.1.tgz",
+      "integrity": "sha1-n7fmuljvrE7pExyymqnuO1QLzx4=",
+      "dev": true,
+      "requires": {
+        "css.escape": "^1.5.0",
+        "platform": "1.3.3"
+      }
+    },
     "ansi-escapes": {
       "version": "3.2.0",
       "resolved": "https://registry.npmjs.org/ansi-escapes/-/ansi-escapes-3.2.0.tgz",
@@ -2737,6 +2747,12 @@
         "randomfill": "^1.0.3"
       }
     },
+    "css.escape": {
+      "version": "1.5.1",
+      "resolved": "https://registry.npmjs.org/css.escape/-/css.escape-1.5.1.tgz",
+      "integrity": "sha1-QuJ9T6BK4y+TGktNQZH6nN3ul8s=",
+      "dev": true
+    },
     "cypress": {
       "version": "5.3.0",
       "resolved": "https://registry.npmjs.org/cypress/-/cypress-5.3.0.tgz",
@@ -2875,6 +2891,15 @@
       "integrity": "sha512-ILj+3MJliP5p+wHyJaJoOfADu7vmjDg9OshMXJbqSzg3hTTjYU3X0/vANykbl5XmkOFa5G8Fl1RNSeBUu41KJQ==",
       "dev": true
     },
+    "cypress-plugin-tab": {
+      "version": "1.0.5",
+      "resolved": "https://registry.npmjs.org/cypress-plugin-tab/-/cypress-plugin-tab-1.0.5.tgz",
+      "integrity": "sha512-QtTJcifOVwwbeMP3hsOzQOKf3EqKsLyjtg9ZAGlYDntrCRXrsQhe4ZQGIthRMRLKpnP6/tTk6G0gJ2sZUfRliQ==",
+      "dev": true,
+      "requires": {
+        "ally.js": "^1.4.1"
+      }
+    },
     "dash-ast": {
       "version": "1.0.0",
       "resolved": "https://registry.npmjs.org/dash-ast/-/dash-ast-1.0.0.tgz",
@@ -5735,6 +5760,12 @@
         "find-up": "^4.0.0"
       }
     },
+    "platform": {
+      "version": "1.3.3",
+      "resolved": "https://registry.npmjs.org/platform/-/platform-1.3.3.tgz",
+      "integrity": "sha1-ZGx3ARiZhwtqCQPnXpl+jlHadGE=",
+      "dev": true
+    },
     "pngjs": {
       "version": "3.4.0",
       "resolved": "https://registry.npmjs.org/pngjs/-/pngjs-3.4.0.tgz",
diff --git a/tests/package.json b/tests/package.json
index f86d2c39..64560769 100644
--- a/tests/package.json
+++ b/tests/package.json
@@ -7,6 +7,7 @@
     "@cypress/code-coverage": "^3.8.1",
     "cypress": "^5.0.0",
     "cypress-file-upload": "^4.1.1",
+    "cypress-plugin-tab": "^1.0.5",
     "cypress-localstorage-commands": "^1.3.1"
   },
   "dependencies": {