A hydrostatic drive system includes an anti-slip control unit having a hydraulic pump which supplies a plurality of hydraulic motors of a plurality of axles with pressure medium. Based on a detected slip, a control device switches over between a two-wheel and a multiple-wheel drive and controls the driving torque. Optimal distribution of driving torque and traction between the axles or wheels of the drive system is set in the drive system. A method for anti-slip control of a hydrostatic drive system includes reacting to a slip situation by activating a hydraulic motor for axles or wheels which until then were not driven, or driven only with low driving torque or by increasing the driving torque of wheels which until then did not slip. The capacity of the hydraulic motor of the axles or wheels is raised to enable the activation/increase.