  We discover an intrinsic superspin Hall current: an injected charge
supercurrent in a Josephson junction containing heavy normal metals and a
ferromagnet generates a transverse spin supercurrent. There is no accompanying
dissipation of energy, in contrast to the conventional spin Hall effect. The
physical origin of the effect is an antisymmetric spin density induced among
transverse modes $k_y$ near the interface of the superconductor arising due to
the coexistence of $p$-wave and conventional $s$-wave superconducting
correlations with a belonging phase mismatch. Our predictions can be tested in
hybrid structures including thin heavy metal layers combined with strong
ferromagnets and ordinary $s$-wave superconductors.
