expression, godan verb (-ku)
Rare expression meaning one's name or reputation is widely recognized. More common alternatives include 有名である or 名が知られている.
彼の名が世界に響く日も遠くないだろう。
The day when his name is famous throughout the world may not be far off.
Phrase composed of 名 (name) + が (subject marker) + 響く (to resound, echo). Literally 'one's name echoes', figuratively meaning fame spreads widely.