Method and a system for transmitting data in a switchable data network. To improve the transmission of data having different priorities in the switchable data network, telegrams are assigned priorities, with said telegrams (70-77) in each case having a beginning and an end. Data telegrams assigned a first priority are sent during a first phase from first users to second users, with the first phase being characterized by a defined receive time of the end of one or more of the data telegram at one or more second users.