  We consider the quotients $X = V/G$ of a symplectic complex vector space $V$
by a finite subgroup $G \subset Sp(V)$ which admit a smooth crepant resolution
$Y \to X$. For such quotients, we prove the homological McKay correspondence
conjectured by M. Reid. Namely, we construct a natural basis in the homology
space $H_\cdot(Y,\Q)$ whose elements are numbered by the conjugacy classes in
the finite group $G$.
