The bands will appear with special guest host Mick Jagger for the May 19 episode, according to Entertainment Weekly.
Jagger will be hosting SNL solo for the very first time, but he did previously helm a 1978 episode with The Rolling Stones and has also guest starred as a musical guest.
Foo Fighters frontman Dave Grohl's appearance will mark his tenth performance on Saturday Night Live, having also shared the Studio 8H stage with Nirvana and Them Crooked Vultures.
Saturday Night Live's season finale could be the last episode for Kristen Wiig, Jason Sudeikis and Andy Samberg, who are all rumoured to be leaving at the end of the current season.
Will Ferrell returns to Saturday Night Live this weekend for his third hosting stint alongside musical guest Usher.
Saturday Night Live airs at 11.30/10.30c on NBC.
Watch Foo Fighters perform 'Walk' on Saturday Night Live below: