Travelling device (20) particularly for self-propelled mower comprises a frame (1) provided with several identical travelling units (21) arranged on its circumference. Each travelling unit (21) comprises a flexibly suspended travelling wheel 92) rotating on its horizontal and vertical axes. A motor unit (3) with a driving shaft (13) is arranged on said frame (1) for driving a working device and said travelling wheels (2). Said travelling wheels (2) are arranged in said travelling units (21) turnably on vertical axis in an unlimited angular range of 360.degree..