In a method for the nondestructive testing of pipes made of ferromagnetic steel for flaws by means of stray flux, the pipe is magnetized by a constant field and the discontinuities in the near-surface region of the outer or inner surface of the pipe cause magnetic stray fluxes, which exit the pipe surface and are detected by probes of a test unit, wherein the association of the detected amplitude signals is performed on the basis of the amplitude height and/or the frequency spectrum with respect to an external or internal flaw via defined flaw thresholds respectively. For this, prior to associating the detected amplitude signals to an external or internal flaw, the angular position of the flaw relative to the respective magnetic field direction is determined, and a correction of the signals is carried out via a previously determined correction factor for amplitudes and/or frequencies of a perpendicular angular position.