"发出雷鸣般声响" can be translated into English as "make a thunderous roar" or "produce a thunderous sound".
Here are some example sentences for context:
The waterfall made a thunderous roar as it cascaded down the cliff.
(瀑布从悬崖上倾泻而下,发出雷鸣般的轰鸣声。)
The crowd produced a thunderous sound of approval when the speaker finished.
(演讲者结束讲话时,人群爆发出雷鸣般的赞同声。)