Disclosed is a pharmaceutical composition, comprising two analgesic compounds and/or pharmaceutically acceptable salts thereof consisting of celecoxib and/or at least one pharmaceutically acceptable salt thereof and oxycodone and/or at least one pharmaceutically acceptable salt thereof, said two analgesic compounds in an amount sufficient to provide an analgesic effect in a human patient. Also disclosed is a method of effectively treating pain in humans or other mammals, comprising orally administering to the patient an oral dosage form comprising two analgesic compounds consisting of celecoxib and/or at least one pharmaceutically acceptable salt thereof and oxycodone and/or at least one pharmaceutically acceptable salt thereof, said two analgesic compounds in an amount sufficient to provide an analgesic effect in a human patient.