The steering system according to the invention provides a means of coordinating the movements of the two steering handles on a machine such as light tricycle type vehicles propelled by a pedal (5) and propulsion arms (6).The steering system comprises two handles (8) installed free to pivot, each handle being installed at the end of one of the propulsion arms (6) and a first cable (10) being fixed to the bottom of each handle. The second end is fixed to the steering shaft (9) of the tricycle. A second cable connects the two handles to each other to coordinate the movement of the handles (8).Application to leisure tricycles, light vehicles in general, indoor sports and medical re-education apparatus and static game facilities for leisure parks.