Abstract: A method for controlling accesses to resources of a communication network wherein at least two criteria are selected from the transmission-oriented and switching-oriented properties of resources of a communication network and time-division multiplex-oriented sub-resources are allocated with at least one criterion to network termination units arranged in the communication network. A waiting list is provided for each criterion wherein access requests to the sub-resources are allocated dependent on the selected criteria of the corresponding waiting list. The access to the corresponding sub-resources is granted by cyclical processing of the waiting lists wherein advantageously prioritized data streams are handled.