On hearing the news, he broke down sobbing, unable to finish his words.
Tips
history
From 《晋书·王彬传》: Wang Bin rebuked the rebel Wang Dun so passionately that '音辞慷慨,声泪俱下' — 'his words were impassioned and voice and tears fell together'. The phrase has denoted an emotional denunciation ever since.
grammar
Almost always used adverbially with 地 before a speech verb: 声泪俱下地说 / 讲述 / 控诉. Rare as a main predicate.