The singer-actress's performance will celebrate her starring role in the hit musical Cabaret, which won her the Oscar for 'Best Actress' in 1973.
Minnelli's appearance is part of Southbank Centre's 'Berlin in the '20s and '30s' weekend, which is due to take place next March.
"We are delighted to welcome back Liza Minnelli to the Royal Festival Hall," said Jude Kelly, artistic director of the Southbank Centre.
"[Bob] Fosse's Cabaret is one of the most iconic, intimate depictions of 1930s Berlin, and we are thrilled that the artist who so brilliantly gave life to the complex character of Sally Bowles can take part as we look back at this particular moment in history."
Minnelli's return to the stage will be her first show at the Southbank Centre in 40 years. The 66-year-old star - who is the daughter of legendary entertainer Judy Garland - last performed at the venue in 1973 in her solo show 'Liza with a Z'.
"I'm always so excited to perform in London," said Minnelli in a statement announcing the appearance. "I have so many friends and fans there [that] I consider it my second home.
"And to be returning to the Royal Festival Hall after all this time is thrilling. I remember bringing 'Liza with a Z' there in the early '70s and having such a swell time. So I can't wait to see all you guys again."
Watch Liza Minnelli as Sally Bowles in Cabaret below: