  We apply the BRST approach, developed for higher spin field theories, to
Lagrangian construction for totally antisymmetric massive fermionic fields in
AdS_d space. As well as generic higher spin massive theories, the obtained
Lagrangian theory is a reducible gauge model containing, besides the basic
field, a number of auxiliary (Stuckelberg) fields and the order of reducibility
grows with the value of the rank of the antisymmetric field. However, unlike
the generic higher spin theory, for the special case under consideration we
show that one can get rid of all the auxiliary fields and the final Lagrangian
for fermionic antisymmetric field is formulated only in terms of basic field.
