  We consider ferromagnetic particles embedded into a superconductor and study
the screening of their magnetic moments by the spins of the Cooper pairs in the
superconductor. It is shown that a magnetic moment opposite to the one of the
ferromagnetic particle is induced in the superconductor. In the case of a small
itinerant ferromagnet grain and low temperatures the full screening of the
magnetic moment takes place, \textit{% i.e} the absolute value of the total
magnetic moment induced in the superconductor is equal to the one of the
ferromagnetic particle. In type II superconductors the proposed screening by
spins of the conduction electrons can be much stronger than the conventional
screening by Meissner currents.
