The social network had been targeting between $28 and $35 a share, valuing the company at up to $96bn, but has now raised its top-end ambition to $104bn after being inundated with requests for its shares from potential investors.
Facebook will sell 337.4m shares in its IPO on Thursday, marking the biggest technology flotation in history and immediately catapulting Facebook ahead of companies like Disney and Ford in valuation terms.
The value of the company is expected to surge even higher when trading in its shares start on the Nasdaq stock exchange on Friday, under the ticker FB, despite concerns about its long-term business model.
Nearly two thirds of Americans who actively invest in the stock market think Facebook would be overvalued at $100bn, according to a poll by CNBC and the Associated Press. Billionaire Warren Buffett, arguably the world's most succesful investor, has said he will not be buying shares in the company.
Nonetheless, Facebook's IPO was already oversubscribed last week, leaving some institutional investors that had placed large orders scrabbling around syndicate desks for more shares so they could increase their stakes.
Some of the social network's underwriters were reportedly closing their books early on Tuesday because they had no shares left to sell.
Facebook's road show, which got underway last week, appears to have overcome anxieties over its corporate governance and potential growth.
The social network warned last week that the surge in people accessing Facebook on their mobiles is threatening the company's long-term financial prospects, because it has not yet worked out how to monetise that usage.
Mr Zuckerberg, who founded Facebook from his bedroom at Harvard, ruffled feathers by wearing a "hoodie" sweater on Facebook's roadshow. He has turned down an invitation to go to ring the Nasdaq bell in New York on Facebook's first day of trading - opting to ring it remotely from Facebook's Cupertino headquarters instead.
