The magnetic interactions in superlattices formed by alternating 1ay-ers of magnetic and nonmagnetic semiconductors with common anions were studied theoretically. Within a one-dimensional tight-binding model by minimising the total electronic energy we show the existence of an efficient long range mechanism of magnetic correlations between the neighbouring magnetic 1ayers in such superlattices. The cases of magnetic ions in the barriers (e.g., EuTe/PbTe) and in the wells, with the order within the magnetic 1ay-ers being either ferromagnetic or antiferromagnetic, have been considered and compared with the paramagnetic case. In the case of antiferromagnetic ordering within magnetic 1ayers we have found that for even and odd numbers of magnetic monolayers different magnetic superlattices are energetically favourable.PACS numbers: 75.70. Ak, 75.25.+z The magnetic correlations between the ferromagnetic metallic layers separated by nonmagnetic metals and insulators have been widely studied for the last ten years, both experimentally and theoretically. In the case of the metallic spacers several models have been proposed to explain the correlation mechanism: the RKKY model, the free electron model, the tight-binding model with spin dependent potential steps, etc. For the insulating spacers the model of electron tunnelling has been advocated (for references see, e.g., [1]). However, it has been shown by Bruno [1] that there is a common feature of all these models, which is the spin dependent change of the density of states resulting from the quantum interference of the free electron waves.Recently, the magnetic correlations were also discovered in semiconductor superlattices -the nentron diffraction studies of ΕuTe/PbTe superlattices showed (719)