We predict the appearance of spontaneous superconducting currents in the gr
ound states of the heterogeneous magneto-superconducting systems. These cur
rents appear due to magnetic interaction between the supercurrent in the su
perconducting subsystem and the magnetic moment in the magnetic subsystem e
ven if the magnetic field from the magnet does not penetrate into the super
conductor. We propose several configurations in which spontaneous currents
are expected.