Chassis for transportation on various support surfaces with wheel-stepper propulsion devices relate to trackless vehicles, in particular to point walking propulsion devices and may be best used 5 for the movement of controlled and autonomous vehicles on cross-border terrain, including marshy and water barriers, farmland and snow cover. And in urban environment can be effectively used to move on ladders and other threshold obstacles, including the possibility of moving on badly-organized areas at the entrances of buildings. Unlike known analogues, this device is characterized by simplicity, high ground clearance, smooth running. The chassis contains wheel-stepper propulsion devices. Each wheel-step propulsion device consists of at least three supports fixed on the common shaft symmetrically relative to the axis of rotation of the shaft and inclined to each other, forming lateral edges of an imaginary pyramid. wherein the shaft is located at an angle to the reference surface so that the reference surface is touched by no more than two supports from each wheel-stepper propulsion device at the same time. And the shaft is fixed in a movable manner with the possibility of transverse movements and is kinematically connected with the compensator of oscillations. The oscillation compensator is fixed on the chassis. Several variants of oscillation compensators are presented: using the cam mechanism, with the use of the crank-connecting mechanisms, using the general lever of two antiphase rotating wheel-stepper propulsion devices and with the use of telescopic supports with springs inside. The supports of the wheel-stepper propulsion devices can be fitted with shoes dressed in spherical heels supports. In cases where only one wheel is installed on the chassis, the wheel-step propulsion device, a guided rotation mechanism is installed between the shoe and the support such as an electric motor with a gearbox. If the chassis need to be rotated, this rotation mechanism rotates t
