sah -- He; tvam -- You; prabho -- O master; adya -- now; vasudeva-grihe -- in the home of Vasudeva; avatirnah -- have descended; sva -- with Your own; amsena -- direct expansion (Lord Balarama); bharam -- the burden; apanetum -- to remove; iha -- here; asi -- You are; bhumeh -- of the earth; akshauhini -- of the armies; sata -- hundreds; vadhena -- by killing; sura-itara -- of the opponents of the demigods; amsa -- who are expansions; rajnam -- of the kings; amushya -- of this; ca -- and; kulasya -- dynasty (of the descendants of Yadu); yasah -- the fame; vitanvan -- spreading.

You are that very same Supreme Person, my Lord, and You have now appeared in the home of Vasudeva with Your plenary portion. You have done this to relieve the earth's burden by killing hundreds of armies led by kings who are expansions of the demigods' enemies, and also to spread the fame of our dynasty.