A method for controlling access to data of a message memory, and a message handler of a communications module having a message memory, in which data are input or output in response to an access; the message memory being connected to a first buffer configuration and a second buffer configuration, and the data being accessed via the first or the second buffer configuration; in the message handler, at least one first finite state machine being provided which controls the access to the message memory via the first buffer configuration, and at least one second finite state machine being provided which controls the access via the second buffer configuration, the at least one first finite state machine and the second finite state machine making access requests; and a third finite state machine being provided which assigns access to the message memory to the at least one first and the second finite state machine as a function of their access requests.