A method for controlling the admission of slices in a virtualized telecommunication network and the congestion generated between services with different priorities instantiated on the slices and likely to share a given quantity of resources comprising the following steps of: defining a priority scale to be assigned to the network slices, defining a low priority threshold, determining the quantity of available and used network resources sp(t) and xp(t), determining the quantity of resources allocated to slices with a priority lower than the low priority threshold and which may be temporarily assigned to new slices with a priority higher than the threshold, and determining the slices likely to be accepted into the network, taking into account the available resources and the priority of the slices.