A fuel pump for supplying fuel at high fuel pressures includes a stationary body having a plurality of radial cylinders connecting with a central fuel chamber. Inlet and outlet passages communicate with the fuel chamber. Plungers are reciprocated in the cylinders by cam followers reciprocable in follower recesses of the body. A rotary internal cam engages the cam followers and is configured to reciprocate the plungers in timed relation to sequentially draw fuel from the inlet passage into the central fuel chamber and alternately force fuel from the central fuel chamber to the outlet passage in response to rotation of the rotary cam. A preferred embodiment includes paired smaller and larger diameter cylinders and pistons which are sequentially actuated in overlapping fashion to minimize pulsing of the pressurized fuel discharged from the pump into associated engine fuel lines.