PACS 71.20. Be, 74.25.Ha Recently synthesized compounds Pr 3 Co 13 B 2 and Pr 5 Co 19 B 6 belong to the R m+n Co 5m+3n B 2n family with (m = 2, n = 1) and (m = 2, n = 3), respectively. They are studied because of their possible use as permanent magnets. The electronic structure is investigated by the tight binding version of the linear muffin-tin orbital method in the atomic sphere approximation (TB-LMTO ASA). The cobalt atoms occupying distinct sites have different types and number of neighbouring atoms and as a consequence the magnetic moments are different. The calculated values are compared with the results of bulk measurements.1 Introduction It has been known that boron substitution for the Co in RCo 5 Haucke compounds (R = rare earth element) leads to the formation of a series of systems expressed by the general formula R 1+n Co 5+3n B 2n.[1] (n = 0, 1, 2, ..., ∞). The unit cells have an interesting crystallographic regularity (see Fig. 1 in [2]), they are formed by alternate stacking of one layer of RCo 5 and n layers of RCo 3 B 2 . The partial substitution of the Co atoms by boron in the R 1+n Co 5+3n B 2n system causes a decrease of the Curie temperature (T C ), saturation magnetization (M S ) and effective intersublattice exchange interaction ([3] and ref. therein). Although the systems have uniaxial symmetry, their T C and M S are too low to be suitable for permanent magnet applications [4][5][6]. In order to overcome this drawback new series of compounds R m+1 Co 5m+3 B 2 with high Co content was proposed [7][8][9][10]. The mentioned above two homologous series can be expressed by a general formula R m+n Co 5m+3n B 2n , which is formed by alternate stacking of m parts of RCo 5 with n parts of RCo 3 B 2 along the c axis. The high values of the T C an M S are expected due to the high Co content. It has been shown by ab-initio calculations, e.g. [2,11,12], as well as by neutron diffraction measurements [13,14] that the magnetic moments of Co atoms depend on their local environment in R 1+n Co 5+3n B 2n . In this paper a study of the electronic structure of the Pr 3 Co 13 B 2 and Pr 5 Co 19 B 6 systems will be presented.