The venue is to change its name from Savile’s Hall to New Dock Hall, in recognition that the surrounding area is to be renamed New Dock following its purchase by the Allied London property company in July this year.
"The sheer volume and nature of these allegations has made the name toxic," said RAI managing director James Vincent.
"We are pleased to have the opportunity to rename the venue and to associate it with New Dock, the new identity being created for the area."
New Dock Hall opened in 2007 and has attracted events including the first cabinet meeting to take place outside London since the Second World War.
The hall is the RAI’s biggest investment to date as it cost £3.5m to build and then a further £1.5m to equip it as a multimedia space for up to 1,500 people.
RAI is separate from the Royal Armouries Museum, which is based on the same site in Leeds but is run as a separate concern.