The present invention relates to pharmaceutical combinations of opioid and non-opioid analgesics in an intimate admixture with caffeine and an analgesic from a series of N-acylated 4-hydroxyphenylamine derivatives, linked via an alkylene bridge to the nitrogen atom of a 1,2-benzisothiazol-3(2H)-one 1,1-dioxide group and methods for their use to alleviate pain in mammals. The analgesic combinations exhibit enhanced analgesic potency and are free from antipyretic activity, do not suppress blood coagulation, and have little hepatotoxic effect.