Source : Webster's Revised Unabridged Dictionary (1913)

Self-satisfied \Self`-sat"is*fied\, a.
   Satisfied with one's self or one's actions; self-complacent.

Source : WordNet®

self-satisfied
     adj 1: marked by excessive complacency or self-satisfaction; "a
            smug glow of self-congratulation" [syn: {smug}]
     2: contented to a fault; "he had become complacent after years
        of success"; "his self-satisfied dignity" [syn: {complacent}]