  We consider the open superstring action in AdS_5 x S^5 background with the
bilinear Wess-Zumino term, which has been modified in such a way that a certain
total derivative term is absent, and give the covariant description of
supersymmetric D-branes. We show that the modification of bilinear Wess-Zumino
term is necessary to describe correctly the 1/2-BPS D(-1)-brane in AdS_5 x S^5
background, while the classification of other supersymmetric D-branes does not
depend on such modification.
