Merlin Entertainments, which also operates Sea Life centres at Loch Lomond and Oban as well as the Legoland and Chessington theme parks, has unveiled more details of the flotation plan that will see conditional dealings in the shares start on November 12.
The expected price range for the shares is between 280p and 330p with around 15% going on offer to retail investors.
Members of the public who invest at least £1000 to buy shares will also get an option to save 30% on some annual passes to Merlin attractions.
Private equity owners Blackstone and CVC are selling a chunk of their shares, although Kirkbi, the Danish family-owned investment company that owns the Lego and Legoland trademarks and 75% of the Lego Group, will retain a significant shareholding.
Between 20% and 30% of Merlin's shares will be up for grabs in the initial public offering.
Merlin hopes to raise around £165 million after advisory fees and commission have been paid. It will use this to pay down debt.
Plans to grow in both the US and China next year, including opening branches of Madame Tussauds in San Francisco and Beijing, have already been unveiled.
It is also developing a Legoland park in Dubai and looking at potential sites in Japan and South Korea.
Chief executive Nick Varney believes the business has "bright prospects" and said: "The listing will provide us with the platform for our next stage of development."
Merlin is the latest high-profile firm to target a flotation on the London market, following recent debuts by Royal Mail and London focused estate agency chain Foxtons.
Three years ago Merlin, formed in 1999 and with its headquarters in Poole, Dorset, looked at floating the business but was thwarted by the tough market conditions.
Shareholders instead sold a 28% stake to CVC.
That sale valued the company, whose 99 sites attracted more than 54 million visitors in 2012, at £2.25bn.
Merlin generated revenues of more than £1 billion last year and is Europe's leading visitor attraction operator and the second largest globally after Walt Disney.
Other sites it operates in the UK include Thorpe Park, Warwick Castle and Blackpool Tower. It also runs theme parks in the US, Italy, Germany and Malaysia.