A method of and an apparatus for phase synchronization of a bit rate clock signal generated in an RDS receiver with a digital RDS signal demodulated on the receiver side, in which both the bit rate clock signal and the RDS signal have the same bit rate. Upon turning on of the RDS receiver and/or switching over of the same to a transmitter receiving frequency different from that received so far, a control signal is generated which, upon occurrence of the next rising edge or, alternatively, of the next falling edge of the RDS signal, effects such a phase angle shift of the bit rate clock signal that the bit rate clock signal, starting from that occurrence, is in phase synchronism with the RDS signal.