Control device of an automatic transmission having four forward speeds with shifting under torque together with a hydrokinetic torque converter with an integrated torsional damper, and one reverse speed, of the type comprising a planetary gear train controlled by three clutches and two brakes with hydraulic control. A hydraulic distributor controlled by four solenoid valves selectively feeds the clutches and brakes, depending on the running conditions of the vehicle. The control means of the solenoid valves are made to use two states of one of these solenoid valves to allow fast filling and progressiveness of the active receiver or receivers during shifting and two states of the other solenoid valves to assure the various sequences during shifting.