This invention relates to a method for the transmission of logging data, within a cluster of computers, enabling all or part of the events constituting the running of a user process to be memorized or reproduced. The method applies in particular to the logging data representing the internal events of this process.When the functioning of the primary user memory space is managed by system software managing first software and hardware communication resources (OPsock, OPM) to enable an exchange of data with another node (SB), this method comprises transmitting the logging data from the first user memory space (OPU) to second software and hardware communication resources (HSI) in order to transmit them to this secondary node at a rhythm globally equivalent to that of the execution of the logged process.