Vehicle speed control system

A vehicle speed control system comprises a lateral acceleration sensor (100, 581, 582), a vehicle speed sensor (10), a target vehicle speed setting device (20, 30, 40,520) and a controller (500) arranged to calculate a correction quantity (VSUB) on the basis of the lateral acceleration and the actual vehicle speed (VA), to calculate a command vehicle speed Vcom) on the basis of the actual vehicle speed (VA), the target vehicle speed (VSmax), a variation ( DELTA VCOM) of the command vehicle speed, and the correction quantity (VSUB), and to control a drive system to bring the actual vehicle speed (VA) closer to the command vehicle speed (Vcom) .