We show that if f:M3→M3 is an A-diffeomorphism with a surface
two-dimensional attractor or repeller B and MB2 is a
supporting surface for B, then B=MB2 and
there is k≥1 such that: 1) MB2 is a union
M12∪...∪Mk2 of disjoint tame surfaces such that every Mi2 is
homeomorphic to the 2-torus T2. 2) the restriction of fk to Mi2(i∈{1,...,k}) is conjugate to Anosov automorphism of T2