This invention pertains to compositions and method for transdermal administration of non-steroidal anti-inflammatory and analgesic drugs (NSAID) for the treatment of inflammation and pain caused by conditions such as arthritis, degenerative joint disease, minor strains, pains, and contusions. This invention particularly relates to transdermal compositions comprising an NSAID, a bioadhesive graft copolymer, and a skin penetration enhancer, selected from pyrrolidone or its derivatives and dialkyl sulfoxides and combinations thereof.