A method for synchronizing clocks in nodes of a vehicle network of a motor vehicle corrects a time difference between a master clock and a slave clock, taking into account transmission delay for a message between a master node and a slave node. At least for a first synchronization of the master clock to a slave clock after the nodes of the vehicle network are started up, a default transmission delay in the slave node is used to correct the time difference, and/or the slave node sending out a Delay Request message, and recording in the master node the time at which Delay Request message is received and the master node sending the time, as a Delay Response message, back to the slave node. In the slave node, the transmission delay for a message between the master node and the slave node is determined.