A high-pressure variable-flow-rate pump for a fuel-injection system

The high-pressure pump (7) comprises a number of pumping elements (18) actuated in reciprocating motion through corresponding suction and delivery strokes. Each pumping element (18) is provided with a corresponding intake valve (25), in communication with an intake pipe (10), supplied by a low-pressure pump (9). Arranged on the intake pipe (10) is a shut-off valve (27) controlled in a choppered way in synchronism with an initial part (32; 32') of the suction stroke of each pumping element (18).