A drive system for construction machinery comprising hydraulic circuit means including a plurality of variable-displacement hydraulic pumps and a plurality of hydraulic actuators, each of said pumps being connected in closed circuit to one or a plurality of said actuators through a solenoid-operated valve or valves to drive a movable member or members connected to the actuator or respective actuators when pressurized fluid is supplied to the actuator or actuators from the pump, characterized in that at least one of the selected hydraulic actuators is further connected in closed circuit through a solenoid operated valve to at least one of the hydraulic pumps other than the hydraulic pump which is connected in closed circuit to the selected hydraulic actuator, operator controlled means are provided for generating command signals, and in that preprogrammed control means are provided for controlling said pumps and valves setting a priority order of hydraulic commuication between each hydraulic pump and the hydraulic actuators to which said hydraulic pump is connected in closed circuit through the respective solenoid-operated valves, for closing all of said solenoid-operated valves when no command signals for driving said actuators are produced, for, when a command signal for driving at least one actuator is produced, opening the solenoid-operated valve associated with said one actuator or the actuator higher in the priority order to hydraulic communication with said hydraulic pump while controlling the delivery of the pump by the command signal for driving the actuator with which said opened valve is associated, for, when at least one of command signals which have been produced to drive at least one actuator is removed, closing the solenoid-operated valve associated with the actuator which have been driven by the removed command signal and/or opening or keeping open the solenoid-operated valve associated with the other actuator or actuator higher in the priority order of hydraulic communication with said hydraulic pump among the other actuators while controlling the delivery of the pump by the command signal for driving the actuator with which said opening or opening-kept valve is associated, and for conducting any switching of each solenoid-operatee valve only when the delivery of said pump is zero or has been reduced substantially to zero.