  In this paper we introduce a notion of Morita equivalence for Hilbert
C*-modules in terms of the Morita equivalence of the algebras of compact
operators on Hilbert C*-modules. We investigate some properties of the new
version of Morita equivalence and obtain some results. We then applied our
results to study the continuous actions of locally compact groups on full
Hilbert C*-modules. We present an extension of Green's theorem in the context
of Hilbert C*-modules as well.
