The gig, which is part of the Beach Boys' 50 year celebrations, will be taking place on Monday afternoon at the Mermaid.
it will be recorded and then played on DJ Jo Wiley's Radio 2 show at 9pm on Monday evening.
Carol Anderson, head of public relations for The Mermaid, said: "We are delighted to be working with BBC Radio 2 again and this affirms our long-term relationship that we have had over many years."
Last December Beach Boys Brian Wilson, Mike Love, Al Jardine, Bruce Johnston and David Marks accounced they would reunite for a new album and tour to celebrate 50 years.
One of the world’s most legendary and influential bands, this is the first time they have toured together for more than two decades.
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