The problem of current flow in the two-phase periodic system with triangular symmetry is solved. The local distributions of currents are founded. It is shown,that due to the medium geometry the effective conductivity of such systems has a tensor character and all its components are establishedConsiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7 Rome / CNR - Consiglio Nazionale delle RichercheSIGLEITItal