A hydraulic drive system for a crawler-mounted construction vehicle includes: a hydraulic pump (1); a plurality of hydraulic actuators including traveling hydraulic motors (2, 3) driven by the hydraulic pump; a plurality of flow control valve means including first and second flow control valve means (15, 16; 35, 36) for respectively controlling the flow rates of the hydraulic fluid supplied from the pump to motors; pump controlling means (11) for effecting control during the driving of the motors in such a manner that the discharge pressure of the pump becomes higher by a fixed value than the higher one of load pressures of the motors; and first and second pressure balance valve means (17, 18; 37, 38) for respectively controlling the rates of flow through the flow control valve means during the driving of the motors in such a manner that the load pressures of the motors do not affect the rates of flow through the first and second flow control valve means. The first and second pressure balance valve means (17, 18; 37, 38) are respectively provided with valve control means (62, 63; 66, 67 ) which do not cause the associated pressure balance valve means to be actuated until the differential pressure between the load pressure generated in a first motor (2) and the load pressure generated in a second motor (3) reaches a predetermined value (.DELTA.P.sub.0), and causes the pressure balance valve means to be actuated when the differential pressure exceeds the predetermined value.