diff --git a/tests/cypress/integration/issue_1568_cuboid_dump_annotation.js b/tests/cypress/integration/issue_1568_cuboid_dump_annotation.js
new file mode 100644
index 000000000000..1a21471ffdf3
--- /dev/null
+++ b/tests/cypress/integration/issue_1568_cuboid_dump_annotation.js
@@ -0,0 +1,60 @@
+/*
+ * Copyright (C) 2020 Intel Corporation
+ *
+ * SPDX-License-Identifier: MIT
+ */
+
+/// <reference types="cypress" />
+
+context('Dump annotation if cuboid created', () => {
+
+    const issueId = '1568'
+    const labelName = `Issue ${issueId}`
+    const taskName = `New annotation task for ${labelName}`
+    const attrName = `Attr for ${labelName}`
+    const textDefaultValue = 'Some default value for type Text'
+    const image = `image_${issueId}.png`
+    const width = 800
+    const height = 800
+    const posX = 10
+    const posY = 10
+    const color = 'gray'
+
+    before(() => {
+        cy.visit('auth/login')
+        cy.login()
+        cy.imageGenerator('cypress/fixtures', image, width, height, color, posX, posY, labelName)
+        cy.createAnnotationTask(taskName, labelName, attrName, textDefaultValue, image)
+        cy.openTaskJob(taskName)
+    })
+
+    describe(`Testing issue "${issueId}"`, () => {
+        it('Create a cuboid', () => {
+            cy.createCuboid('Shape', 309, 431, 616, 671)
+            cy.get('#cvat-objects-sidebar-state-item-1')
+            .should('contain', '1').and('contain', 'CUBOID SHAPE')
+        })
+        it('Dump an annotation', () => {
+            cy.get('.cvat-annotation-header-left-group').within(() => {
+                cy.get('[title="Save current changes [Ctrl+S]"]')
+                cy.get('button').contains('Save')
+                .click({force: true})
+                cy.get('button').contains('Menu')
+                .trigger('mouseover',{force: true})
+            })
+            cy.get('.cvat-annotation-menu').within(() => {
+                cy.get('[title="Dump annotations"]')
+                .trigger('mouseover')
+            })
+            cy.get('.cvat-menu-dump-submenu-item').within(() => {
+                cy.contains('Datumaro')
+                .click()
+            })
+        })
+        it('Error notification is ot exists', () => {
+            cy.wait(5000)
+            cy.get('.ant-notification-notice')
+            .should('not.exist')
+        })
+    })
+})
diff --git a/tests/cypress/support/commands.js b/tests/cypress/support/commands.js
index b0274a4a2484..20767e486416 100644
--- a/tests/cypress/support/commands.js
+++ b/tests/cypress/support/commands.js
@@ -180,3 +180,18 @@ Cypress.Commands.add('changeAnnotationMode', (mode) => {
     cy.get('.cvat-workspace-selector')
     .should('contain.text', mode)
 })
+
+Cypress.Commands.add('createCuboid', (mode, firstX, firstY, lastX, lastY) => {
+    cy.get('.cvat-draw-cuboid-control').click()
+    cy.contains('Draw new cuboid')
+    .parents('.cvat-draw-shape-popover-content')
+    .within(() => {
+        cy.get('button')
+        .contains(mode)
+        .click({force: true})
+    })
+    cy.get('.cvat-canvas-container')
+    .click(firstX, firstY)
+    cy.get('.cvat-canvas-container')
+    .click(lastX, lastY)
+})