The late entertainer – who died in August at the age of 89 – had often been a part of the show.
During this year’s performance, attended by the Duke and Duchess of Cambridge, clips of Sir Bruce presenting and appearing on the Royal Variety Performance over the years are to be played.
Miranda Hart, who hosts the show which airs tonight, said: “Earlier this year, we lost one of our country’s greatest entertainers, a legendary show man whose career spanned an awe inspiring eight decades.
“I’m talking of course about the one and only Sir Bruce Forsyth.”
The comedian remembers interviewing Sir Bruce at the same venue, the London Palladium, in 2013.
“He hadn’t been on the Palladium stage for many years and was not only immediately dancing and tapping and making jokes, but was clearly moved and a little misty eyed as he remembered the countless times he performed on this stage,” she said.
“I was really struck by his genuine passion, his dedication and commitment and hard work to entertain and boy did he do that… He really was the King of entertainment, Brucey we shall miss you and thank you.”
Hart, the first female to act as sole host of the Royal Variety Performance, starts the show by jokingly asking the Royals if they have “throne envy”.
She says: “What an honour it is to be hosting this evening, and you’ll be pleased to hear that the status of the event hasn’t changed me at all… Get me my throne now. I just insist on a throne being brought on by two dancers.”
“Throne Envy?” she asks the Royals.
Hart also manages to get Prince William galloping on stage, after explaining that she is “on a life mission for adults to reclaim the gallop from toddlers”.
“Don’t tell me the world wouldn’t be a better place with adults galloping. I offer it up to the young Royals as a way to liven up a formal event,” she said.
“It could be fun – a service at Westminster with the Royal family galloping down the aisle followed by the Archbishop of Canterbury, ideally with the Black Beauty theme music piped in on the organ.”
After the West End cast of Annie performs, one of the young performers asks Prince William if he might gallop and he does so, to much applause.
Other performances include music from Paloma Faith, The Killers, Seal, Louis Tomlinson, The Script, Michael Ball and Alfie Boe and Beverly Knight, Amber Riley and Cassidy Janson as The Leading Ladies.
Britain’s Got Talent winner Tokio Myers performs plus there is a surprise skit by the cast of Benidorm, and Frasier star Kelsey Grammer appears.
The event is staged in aid of the Royal Variety Charity, which boasts the Queen as its patron.
The money raised from the show helps those people from the world of entertainment in need of care and assistance.
The Royal Variety Performance airs tonight at 7.30pm on ITV.