Abstract: A hand bicycle pump of generally cylindrical configuration essentially comprising a pump body adapted to be reciprocated on a pump rod. An air circulation chamber communicates at one end through the compression piston with the compression chamber in the pump body and at the other end via a check valve with a connector adapted to couple temporarily the pump to an inflation valve of an inflatable body, e.g. a tire. The desired inflation pressure is preselected by rotating a sleeve, accessible from outside the pump, having an index, relative graduations along a slot in the pump body. The sleeve varies the spring force exerted against one end of a piston control member, the other end of which is subjected to the pressure inside the inflatable body so that once the desired pressure is reach the control member is displaced axially to bring the compression chamber into communication with the atmosphere.