  In this paper we construct massive supermultiplets out of appropriate set of
massless ones in the same way as massive spin s particle could be constructed
out of massless spin s,s-1,... ones leading to gauge invariant description of
massive particle. Mainly we consider massive spin 3/2 supermultiplets in a flat
d=4 Minkowski space both without central charge for N=1,2,3 as well as with
central charge for N=2,4. Besides, we give two examples of massive N=1
supermultiplets with spin 3/2 and 2 in AdS_4 space.
