-An increase of the magnetic moment in superconductor/ferromagnet (S/F) bilayers V(40nm)/F [F=Fe(1,3nm), Co(3nm), Ni(3nm)] was observed using SQUID magnetometry upon cooling below the superconducting transition temperature TC in magnetic fields of 10 Oe to 50 Oe applied parallel to the sample surface. A similar increase, often called the paramagnetic Meissner effect (PME), was observed before in various superconductors and superconductor/ferromagnet systems. To explain the PME effect in the presented S/F bilayers a model based on a row of vortices located at the S/F interface is proposed. According to the model the magnetic moment induced below TC consists of the paramagnetic contribution of the vortex cores and the diamagnetic contribution of the vortex-free region of the S layer. Since the thickness of the S layer is found to be 3-4 times less than the magnetic field penetration depth, this latter diamagnetic contribution is negligible. The model correctly accounts for the sign, the approximate magnitude and the field dependence of the paramagnetic and the Meissner contributions of the induced magnetic moment upon passing the superconducting transition of a ferromagnet/superconductor bilayer.The paramagnetic Meissner effect (PME), i.e. the appearance of a positive (rather than a negative) moment below the superconducting transition temperature T C was first observed in high-T C superconductors (HTSC) cooled in small fields (less than ∼ 5 Oe) and initially was explained by peculiarities of the d-wave electron coupling in those systems. Later, however, PME was observed in conventional superconductors, like Al or Nb, which required a less exotic explanation (see review [1] on the PME in bulk superconductors). One of such explanations is based on flux trapping below T C with further compression upon cooling [2,3].A similar effect, the increase of magnetic moment, was also observed recently in superconductor/ ferromagnet heterostructures (S/F) of different compositions [4][5][6][7][8][9][10] with both HTSC and conventional superconductors. For the explanation of the PME in S/F structures different models based on electrodynamical or exchange coupling mechanisms were proposed. In the former case the presence of the stray field produced by the F layer and the response of the superconductor to this field is usually considered [7][8][9]. The second model requires the presence of exchange coupled electrons on the S/F interface [4,5,10] due to the proximity effect. At the moment there is no unanimous opinion regarding the nature of the PME in S/F structures.p-1