  We demonstrate that in diffusive superconductor/ferromagnet/superconductor
(S/F/S) junctions a finite, {\it anomalous}, Josephson current can flow even at
zero phase difference between the S electrodes. The conditions for the
observation of this effect are non-coplanar magnetization distribution and a
broken magnetization inversion symmetry of the superconducting current. The
latter symmetry is intrinsic for the widely used quasiclassical approximation
and prevent previous works, based on this approximation, from obtaining the
Josephson anomalous current. We show that this symmetry can be removed by
introducing spin-dependent boundary conditions for the quasiclassical equations
at the superconducting/ferromagnet interfaces in diffusive systems. Using this
recipe we considered generic multilayer magnetic systems and determine the
ideal experimental conditions in order to maximize the anomalous current.
