Abstract: The invention relates to a system for connecting rigid pipes and for connecting flexible pipes. The pipes have corresponding outer diameters, with a press jaw having a press contour, with at least one first fitting for press-fitting to a rigid pipe, the at least one first fitting having a first press sleeve with a first outer contour, with at least one second fitting for press-fitting to a flexible pipe, the at least one second fitting having a second press sleeve with a second outer contour, the at least one second fitting having a second press sleeve with a second outer contour has a second press sleeve with a second outer contour, the outer contour of the first press sleeve and the outer contour of the second press sleeve in each case being adapted at least in sections to the press contour of the press jaw of the press jaw and can be pressed by the press jaw and wherein the outer contours of the first press sleeve and of the second press sleeve correspond at least in sections.