The invention relates to a piston pump, in particular for fuel injection systems for motorcycles and / or small combustion engines. The piston pump comprises: a cylinder, which has a cylinder base and cylinder walls; a piston arranged in the cylinder; an actuator which moves the piston in a first direction in the cylinder; a restoring element, in particular a spring, which moves the piston in a second direction in the cylinder, the second direction being opposite to the first direction; a compression chamber, which is delimited by the piston, the cylinder base and the cylinder walls; an intake valve through which a fuel flows into the compression space; and an exhaust valve through which the fuel flows from the compression space, wherein the inlet valve being arranged in the cylinder base and the outlet valve being arranged in the piston.