In a method for estimating a frequency offset (fe, Ωe) of a modulated bandpass signal (s) with an assumed carrier frequency (Ω0) in a mobile radio receiver, times (τj) of the zero cross-overs of the bandpass signal are determined in a first step. Using the times (τj) of the zero cross-overs and the assumed carrier frequency (Ω0), the required frequency offset (fe, Ωe) is estimated in a further step by calculating the DC component of an instantaneous frequency which is given by the frequency of the bandpass signal less the assumed carrier frequency.