A multipiston pump including a plurality of piston pumps hydraulically combined into at least two pump units are coupled on the intake side, but supply two separate hydraulic circuits of a vehicle brake system with pressure fluid. To reduce brake pedal pulsation the piston pumps are driven in phase-offset fashion.An eccentric unit comprising two spaced-apart cams rotated counter to one another, with the individual piston pumps being located in a number of sectional planes through the pump housing corresponding to the number of cams and locate the connecting conduits for hydraulically coupling the pump units are located in a region of the pump housing defined by the sectional planes.