A method and an apparatus for operating a printing press determine the vibration behavior of at least one impression cylinder of the printing press, with the avoidance or suppression of undesirable vibrations such as resonant vibrations by utilizing measures in the range of the critical frequencies which trigger the vibrations. During operation of a printing press of this type, undesirable vibrations occur which cause quality impairments in relation to the printed image. The invention reduces quality impairments of this type. The problem is solved by performing targeted loading of the drive of the impression cylinder of the printing press with an exciting signal of the power output to cause vibrations of the impression cylinder, and determining critical frequencies in the resonant frequency spectrum of the impression cylinder using the vibrations which are caused.