A bus system having a plurality of bus components connected in a bus for the transmission of process data by all bus components, with a master as one of the bus components, with at least one slave as one of the bus components. The master has a master system clock for a master system time. The slave has a slave system clock for a slave system time to be synchronized with the master system time. The master is set up to send a synchronization command at a synchronization time via the bus for the parallel reception by the bus components embodied as slaves. The slave system clock of the slave is set up to calculate and output the slave system time based on the synchronization time received by the data transmission and the synchronization signal time and the current time value of the monotone clock.