  We proceed further with a study of open supermembrane on the AdS_{4/7} x
S^{7/4} backgrounds. Open supermembrane can have M5-brane and 9-brane as
Dirichlet branes. In AdS and pp-wave cases the configurations of Dirichlet
branes are restricted. A classification of possible Dirichlet branes, which is
given up to and including the fourth order of fermionic variable \th in
hep-th/0310035, is shown to be valid even at full order of \th. We also discuss
open M5-brane on the AdS_{4/7} x S^{7/4}.
