We promote a study of D-branes of type IIB string on the AdS(5) x S-5 background. The possible D-branes preserving half of supersymmetries were classified up to and including the fourth order of fermionic variable theta in our previous work [hepth/0310228]. In this work we show that our classification is still valid even at the full order of theta. This proof supplements our previous results and completes the classification of D-branes in the type IIB string theory on the AdS(5) x S-5. (C) 2004 Elsevier B.V. All rights reserved.