Chief executive Charles Green and his consortium hope to get the Irn Bru Third Division side listed on the London Stock Exchange's Alternative Investment Market.
The move is part of a masterplan to raise up to £20million to help the owners re-organise the Glasgow club's finances since the "Oldco" went into liquidation with multi-million pound debts.
In a statement today Rangers said: "The funds raised will be used for strengthening the player squad, improving and developing the club's properties and facilities, as well as providing additional working capital."
Mr Green said the chance to buy shares – at the initial public offering (IPO) – was a golden opportunity for fans to be part of the club's rebirth.
He said: "From the time we acquired the business and assets of Rangers FC, we indicated our intention to list the company and provide our fans with the opportunity to invest in their club. I am delighted that our plans are coming to fruition.
"Rangers is debt-free and a huge club with enormous support and a 140-year track record of success on the domestic and inter-national arenas.
"Our aim is to return the club to its glory days while ensuring it is run efficiently and profitably."
Club officials are hoping that Rangers will be listed by the New Year.
Chairman Malcolm Murray said: "Charles has done a great job to bring the club back from the brink of extinction.
"We now move on to the next stage which is full recovery and growth. The fans' loyalty has been instrumental in getting the club on its feet and the IPO gives them the chance to have a say on club matters."
Last month, the drive to generate interest in shares among supporters abroad took off when Green and Rangers director Imran Ahmad jetted to Canada and the US to meet fans to outline the bosses' vision for the future.
A shares helpline has also opened on 0871 6649 271.