The paper explores the possibility of creating an underwater apparatus in the form of a body of rotation. The form of the device will allow to effectively examine the found underwater objects, the bottom topography, measurement of other parameters of the underwater environment or objects. The devices of a different streamlined body form are considered. The apparatus in the form of a rotation body is proposed. The geometric shape of the proposed apparatus, the system of motion and control are investigated. Methods for calculating the motion parameters, methods for the vehicle positioning in the flow and the underwater vehicle movement in the vertical plane are proposed. The study confirms the ability of the underwater vehicle to move under water in a horizontal and vertical directions. The study confirms that the device possess stability at rectilinear motion, good turning ability and at the same time it is able to position itself during the flow.