  To construct renormalizable gauge model in Bosonic-Fermionic noncommutative
(BFNC) superspace, we replace the ordinary products of super Yang-Mills model
by BFNC star products. To study the renormalization property of the deformed
action, we obtain the one-loop 1PI effective action by using background field
method at the first order of BFNC parameters. We also verify the BFNC
supergauge invariance of the effective action. Because there are new terms in
effective action, the deformed action is not renormalizable. This imply that
additional terms should be added to the deformed action.
