The present invention concerns a catheter for medical purposes, such as for insertioninto a body opening for draining fluids, wherein the catheter comprises a flexibletube having a distal end region wherein the tube is provided with at least one drainingopening, characterised in that the peripheral edge on the outside of the tubeis provided with a curvature for creating a smooth transition between the exteriorsurface of the tube and the substantially radially oriented cut constitutingthe opening side and wherein said curvature is a rounded edge with a curvatureradius between 0.2-0.6 mm. The invention further concerns a method of makingsuch catheter and an apparatus for performing this method.