A process for monitoring tire pressure by comparing and evaluating the rotating speeds of the individual wheels of the vehicle which is based on the formation of speed correction factors. The values of the individual correction factors, correlations between the correction factors for typical travel situations, and tolerances for the correction factors, which depend on the actual travel situation, are determined during a learning phase (i.e. phase 1). The deviations of the correction factors from the learned values are determined and evaluated during a subsequent identification phase (i.e. phase 2), taking into account the travel situation-dependent tolerances and the progression of the learning process. Loss of tire pressure is signaled when the current speed correction factor determined for a wheel during the identification phase becomes smaller, taking into account the current deviation, than the speed correction factor already learned, taking into account the tolerance already determined for the current travel situation.