A piston-type fuel pump for an internal combustion engine includes a pump housing, a piston, an annular counterplate, and a non-return outlet valve. The pump housing includes a stepped opening and a piston opening. The piston is guided in the piston opening. The counterplate is pressed into the stepped opening and includes a valve seat. The non-return valve includes a valve element and a guide element. The guide element guides the valve element, is arranged radially outside the valve element and in the stepped opening, and includes a guide section, a retention section, and a support section. The guide section guides the valve element, the retention section is connected to the guide section via a radially extending connecting section, and the support section supports a valve spring. The sections are arranged axially at different points such that the guide section is between the counterplate and the support section.