A fuel pump for a direct injection system provided with a common rail; the fuel pump has: at least one pumping chamber defined in a main body; a piston which 5 is mounted sliding inside the pumping chamber; a suction channel connected to the pumping chamber and regulated by a suction valve; a delivery channel connected to the pumping chamber and regulated by a delivery valve; and a high pressure connection, which is welded by a ring weld 10 to a wall of the main body at the delivery channel, has the function of allowing a connection to a supply duct that feeds the fuel under pressure to the common rail, and has internally a passing through channel through which the fuel coming from the delivery channel flows 15 towards the supply duct.