System (2; 102) for connecting rigid pipes and for connecting flexible pipes, wherein the pipes (4, 6) have corresponding outer diameters, - with a press jaw (10; 110) having a press contour (8; 108), - with at least one first fitting (20; 120) for press-fitting to a rigid pipe, -- wherein the at least one first fitting (20; 120) is formed as an externally sealing fitting and externally seals a rigid pipe to be connected, and -- wherein the at least one first fitting (20; 120) comprises a first press sleeve (21; 121) having a first outer contour (22; 122), - with at least one second fitting (40; 140) for press-fitting to a flexible pipe, -- wherein the at least one second fitting (40; 140) is formed as an internally sealing fitting and seals a flexible pipe to be connected from the inside, -- wherein the at least one second fitting (40; 140) comprises a support body (50; 150) and -- wherein the at least one second fitting (40; 140) comprises a second press sleeve (41; 141) having a second outer contour (42; 142), - wherein the outer contour (22; 122) of the first press sleeve (21; 121) and the outer contour (42; 142) of the second press sleeve (41; 141) are each adapted at least in sections to the press contour (8; 108) of the press jaw (10; 110) and can be pressed by the press jaw (10; 110), - wherein the outer contours (22; 122; 42; 142) of the first press sleeve (21; 121) and of the second press sleeve (41; 141) match at least in sections. - whereinthe press sleeves (21; 121; 41; 141) form a chamber (23; 123; 43; 143) directed inwards towards the pipe (4, 6) to be received, - wherein at least one clamp element and/or at least one sealing element and/or at least one force transmission element is accommodated in the chamber (23; 123; 43; 143), and - wherein the chamber (23; 123) of the first press sleeve (21; 121) and the chamber (43; 143) of the second press sleeve (41; 141) accommodate different clamp elements, sealing elements and/or force transmission elements. - with a press jaw (10; 110) having a press contour (8; 108), - with at least one first fitting (20; 120) for press-fitting to a rigid pipe, -- wherein the at least one first fitting (20; 120) is formed as an externally sealing fitting and externally seals a rigid pipe to be connected, and -- wherein the at least one first fitting (20; 120) comprises a first press sleeve (21; 121) having a first outer contour (22; 122), -- wherein the at least one first fitting (20; 120) is formed as an externally sealing fitting and externally seals a rigid pipe to be connected, and -- wherein the at least one first fitting (20; 120) comprises a first press sleeve (21; 121) having a first outer contour (22; 122), - with at least one second fitting (40; 140) for press-fitting to a flexible pipe, -- wherein the at least one second fitting (40; 140) is formed as an internally sealing fitting and seals a flexible pipe to be connected from the inside, -- wherein the at least one second fitting (40; 140) comprises a support body (50; 150) and -- wherein the at least one second fitting (40; 140) comprises a second press sleeve (41; 141) having a second outer contour (42; 142), -- wherein the at least one second fitting (40; 140) is formed as an internally sealing fitting and seals a flexible pipe to be connected from the inside, -- wherein the at least one second fitting (40; 140) comprises a support body (50; 150) and -- wherein the at least one second fitting (40; 140) comprises a second press sleeve (41; 141) having a second outer contour (42; 142), - wherein the outer contour (22; 122) of the first press sleeve (21; 121) and the outer contour (42; 142) of the second press sleeve (41; 141) are each adapted at least in sections to the press contour (8; 108) of the press jaw (10; 110) and can be pressed by the press jaw (10; 110), - wherein the outer contours (22; 122; 42; 142) of the first press sleeve (21; 121) and of the second press sleeve (41; 141) match at least in sections. - whereinthe press sleeves (21; 121; 41; 141) form a chamber (23; 123; 43; 143) directed inwards towards the pipe (4, 6) to be received, - wherein at least one clamp element and/or at least one sealing element and/or at least one force transmission element is accommodated in the chamber (23; 123; 43; 143), and - wherein the chamber (23; 123) of the first press sleeve (21; 121) and the chamber (43; 143) of the second press sleeve (41; 141) accommodate different clamp elements, sealing elements and/or force transmission elements.