A steering-brake control system for a vehicle in which solenoid operated control valves associated with the respective wheels of at least one axle are normally maintained in an open position, so long as the valve solenoid operators are deenergized. Braking pressure is produced when either one of a right and left brake pedal is operated. Switches associated with each pedal are effective to energize the solenoid of one wheel control valve to cut off brake pressure to that particular wheel, so that only the one wheel corresponding to the operated brake pedal is braked to cause the vehicle to turn in that direction for steering control in off-street operation. In the event both brake pedals are operated, the switches and valves operate to admit brake pressure to each wheel brake cylinder for normal braking during on-street operation.