In a method for producing a pipe connection by press fitting, the following steps are carried out to increase the burst pressure: placing a press fitting onto two pipe ends to be connected to one another; compressing the press fitting against one of the two pipe ends by plastically deforming the press fitting and the pipe end to form a bulge and a first indentation; once again compressing the press fitting against the same pipe end at a distance (a) from the first compression point by plastically deforming the press fitting and the pipe end, thereby forming a second indentation; and connecting the press fitting to the second pipe end.