diff --git a/cvat-ui/src/components/export-dataset/export-dataset-modal.tsx b/cvat-ui/src/components/export-dataset/export-dataset-modal.tsx
index 400cdc4e..2446775a 100644
--- a/cvat-ui/src/components/export-dataset/export-dataset-modal.tsx
+++ b/cvat-ui/src/components/export-dataset/export-dataset-modal.tsx
@@ -135,7 +135,7 @@ function ExportDatasetModal(): JSX.Element {
                     <Checkbox>Save images</Checkbox>
                 </Form.Item>
                 <Form.Item label='Custom name' name='customName'>
-                    <Input placeholder='Custom name for a dataset' suffix='.zip' />
+                    <Input placeholder='Custom name for a dataset' suffix='.zip' className='cvat-modal-export-filename-input' />
                 </Form.Item>
             </Form>
         </Modal>
diff --git a/tests/cypress/integration/actions_projects_models/case_103_project_export.js b/tests/cypress/integration/actions_projects_models/case_103_project_export.js
new file mode 100644
index 00000000..78361179
--- /dev/null
+++ b/tests/cypress/integration/actions_projects_models/case_103_project_export.js
@@ -0,0 +1,113 @@
+// Copyright (C) 2021 Intel Corporation
+//
+// SPDX-License-Identifier: MIT
+
+/// <reference types="cypress" />
+
+import { projectName, labelName } from '../../support/const_project';
+
+context('Export project dataset.', { browser: '!firefox' }, () => {
+    const caseID = 103;
+    const taskName = `Task case ${caseID}`;
+    const attrName = `Attr for ${labelName}`;
+    const textDefaultValue = 'Some value for type Text';
+    const imagesCount = 1;
+    const imageFileName = `image_${taskName.replace(/\s+/g, '_').toLowerCase()}`;
+    const width = 800;
+    const height = 800;
+    const posX = 10;
+    const posY = 10;
+    const color = 'white';
+    const archiveName = `${imageFileName}.zip`;
+    const archivePath = `cypress/fixtures/${archiveName}`;
+    const imagesFolder = `cypress/fixtures/${imageFileName}`;
+    const directoryToArchive = imagesFolder;
+    const advancedConfigurationParams = false;
+    const forProject = true;
+    const attachToProject = false;
+    const multiAttrParams = false;
+    let projectID = '';
+
+    function getProjectID(projectName) {
+        cy.contains('.cvat-project-name', projectName)
+            .parents('.cvat-project-details')
+            .should('have.attr', 'cvat-project-id')
+            .then(($projectID) => {
+                projectID = $projectID;
+            });
+    }
+
+    function testCheckFile(file) {
+        cy.task('listFiles', 'cypress/fixtures').each((fileName) => {
+            if (fileName.match(file)) {
+               cy.readFile(`cypress/fixtures/${fileName}`).should('exist');
+            }
+        });
+    }
+
+    before(() => {
+        cy.imageGenerator(imagesFolder, imageFileName, width, height, color, posX, posY, labelName, imagesCount);
+        cy.createZipArchive(directoryToArchive, archivePath);
+        cy.openProject(projectName);
+        getProjectID(projectName);
+        cy.createAnnotationTask(
+            taskName,
+            labelName,
+            attrName,
+            textDefaultValue,
+            archiveName,
+            multiAttrParams,
+            advancedConfigurationParams,
+            forProject,
+            attachToProject,
+            projectName,
+        );
+    });
+
+    after(() => {
+        cy.goToProjectsList();
+        cy.deleteProject(projectName, projectID);
+    });
+
+    describe(`Testing "Case ${caseID}"`, () => {
+        it('Export project dataset. Annotation.', () => {
+            cy.goToProjectsList();
+            const exportAnnotation = {
+                projectName: projectName,
+                as: 'exportAnnotations',
+                type: 'annotations',
+                dumpType: 'CVAT for images',
+            };
+            cy.exportProject(exportAnnotation);
+            const regex = new RegExp(`^project_${projectName.toLowerCase()}-.*-${exportAnnotation.dumpType.toLowerCase()}.*.zip$`);
+            testCheckFile(regex);
+        });
+
+        it('Export project dataset. Dataset.', () => {
+            cy.goToProjectsList();
+            const exportDataset = {
+                projectName: projectName,
+                as: 'exportDataset',
+                type: 'dataset',
+                dumpType: 'CVAT for video',
+            };
+            cy.exportProject(exportDataset);
+            const regex = new RegExp(`^project_${projectName.toLowerCase()}-.*-${exportDataset.dumpType.toLowerCase()}.*.zip$`);
+            testCheckFile(regex);
+        });
+
+        it('Export project dataset. Annotation. Rename a archive.', () => {
+            cy.goToProjectsList();
+            const exportAnnotationsRenameArchive = {
+                projectName: projectName,
+                as: 'exportAnnotationsRenameArchive',
+                type: 'annotations',
+                dumpType: 'CVAT for images',
+                archiveCustomeName: 'export_project_annotation',
+            };
+            cy.exportProject(exportAnnotationsRenameArchive);
+            const regex = new RegExp(`^${exportAnnotationsRenameArchive.archiveCustomeName}.zip$`);
+            testCheckFile(regex);
+        });
+    });
+});
diff --git a/tests/cypress/support/commands_projects.js b/tests/cypress/support/commands_projects.js
index e0bb6258..bd12a61b 100644
--- a/tests/cypress/support/commands_projects.js
+++ b/tests/cypress/support/commands_projects.js
@@ -42,7 +42,7 @@ Cypress.Commands.add('openProject', (projectName) => {
     cy.get('.cvat-project-details').should('exist');
 });
 
-Cypress.Commands.add('deleteProject', (projectName, projectID, expectedResult = 'success') => {
+Cypress.Commands.add('projectActions', (projectName) => {
     cy.contains('.cvat-projects-project-item-title', projectName)
         .parents('.cvat-projects-project-item-card')
         .within(() => {
@@ -50,6 +50,10 @@ Cypress.Commands.add('deleteProject', (projectName, projectID, expectedResult =
                 cy.get('[type="button"]').trigger('mouseover');
             });
         });
+});
+
+Cypress.Commands.add('deleteProject', (projectName, projectID, expectedResult = 'success') => {
+    cy.projectActions(projectName);
     cy.get('.cvat-project-actions-menu').contains('Delete').click();
     cy.get('.cvat-modal-confirm-remove-project')
         .should('contain', `The project ${projectID} will be deleted`)
@@ -63,6 +67,25 @@ Cypress.Commands.add('deleteProject', (projectName, projectID, expectedResult =
     }
 });
 
+Cypress.Commands.add('exportProject', ({ projectName, as, type, dumpType, archiveCustomeName }) => {
+    cy.projectActions(projectName);
+    cy.intercept('GET', `/api/v1/projects/**/${type}**`).as(as);
+    cy.get('.cvat-project-actions-menu').contains('Export project dataset').click();
+    cy.get('.cvat-modal-export-project').find('.cvat-modal-export-select').click();
+    cy.contains('.cvat-modal-export-option-item', dumpType).click();
+    cy.get('.cvat-modal-export-select').should('contain.text', dumpType);
+    if (type === 'dataset') {
+        cy.get('.cvat-modal-export-project').find('[type="checkbox"]').should('not.be.checked').check();
+    }
+    if (archiveCustomeName) {
+        cy.get('.cvat-modal-export-project').find('.cvat-modal-export-filename-input').type(archiveCustomeName);
+    }
+    cy.get('.cvat-modal-export-project').contains('button', 'OK').click();
+    cy.get('.cvat-notification-notice-export-project-start').should('be.visible');
+    cy.wait(`@${as}`, { timeout: 5000 }).its('response.statusCode').should('equal', 202);
+    cy.wait(`@${as}`).its('response.statusCode').should('equal', 201);
+});
+
 Cypress.Commands.add('deleteProjectViaActions', (projectName) => {
     cy.get('.cvat-project-top-bar-actions').trigger('mouseover');
     cy.get('.cvat-project-actions-menu').within(() => {