In a self-propelling road construction machine, particularly a road roller (1), comprising a travel drive, a steering device, a control device (30) for the travel drive and the steering device, and a driver's seat (5) rotatable by at least 180° and including an integrated operating element (8) for the vehicle speed, with the operating element (8) generating the control signals for the travel drive in dependence on the direction of the control movement of the operating element (8) or the direction of force application on the operating element (8), it is provided that, in response to a first switching command, the control device (30) will automatically perform a reversing process comprising deceleration, seat rotation, change of direction of travel, and acceleration to the set vehicle speed in opposite direction to the original direction of travel.