Abstract: A method for digitally regulating the residual carrier phase error in receivers of digital data transmission systems. A comparator compares the sampled data signal or value of the carrier demodulated input signal to the receiver with the estimated value for each associated sampling time or moment as provided by a decider, to determine the deviation dk which is a measure for the phase difference between the sampled value and the associated estimated value. This deviation dk is filtered in a digital loop filter, including a proportional branch and an integration branch, and a regulating value for the demodulated input signal is obtained from a subsequently connected accumulator. A non-linear limitation on the deviation dk is included in the integration branch of the digital loop filter.