The hydraulic pump has one or more pistons working in a cylinder block, an outlet valve from the working chamber and a damping unit. A passage (9) in the block leads from the outlet sides (8) of the outlet valve (3) to a blind hole (10) in the block. It is connected to an annular chamber (14) in the hole and formed by the end (12), which is clearance fit in the hole. of a closing plug (11). The end face (13) of this portion of the plug is clear in the axial direciton of the hole bottom (15), while inside the plug is a damping chamber (16), open to the end face. One or more outlet ports (21) are provided at the end of the chamber furthest from this face.