In a multiprocessor system having global data replication in each of the local memories, each associated with one of the processors, the global data allocation in the several local memories is performed by translating global data logical addresses in addresses conventionally defined as real, the translation being performed by a first translation unit associated to and managed bythe processor which generates the global data, the first translation being followed by the translation of the real address in a physical address generally differing for each local memory and performed by a plurality of translation unis, each associated with a one of the local memories and managed by the processor associated with that local memory.