Vivian Imerman, known as "The Man from Del Monte" after he sold a stake in the fruit juice firm for £380 million, will pay Lisa Tchenguiz in instalments with no costs.
Ms Tchenguiz, whose brothers are property tycoons Robert and Vincent Tchenguiz, had reportedly been seeking up to £100 million from her South Africa-born husband.
In 2010, she lost a bid to base her claim on thousands of documents downloaded by her brothers from her husband's computer. The couple had been married for seven years before she petitioned for divorce in 2008.
Mr Imerman's spokeswoman said Mr Justice Moylan at the High Court Family Division had considered the terms of the settlement and approved them as "fair and reasonable". Mr Imerman, who made £396 million by selling the whisky group Whyte & Mackay in 2007, is now chairman of international private investment firm Vasari.
She added: "In order to avoid unnecessary, unfair and inaccurate speculation as to the terms of settlement and, given that such speculation has already found its way into the press, Mr Imerman confirms that he will pay a lump sum to Ms Tchenguiz of £15 million in instalments, with no order for costs."
She added that both parties signed a binding confidentiality agreement and Mr Imerman does not intend to comment further regarding his "short marriage to Ms Tchenguiz".
Film producer Ms Tchenguiz signed a pre-nuptial agreement with her husband when they married in 2001, but asked for more because his fortune increased in the time they were married.
Her spokesman said: "Lisa Tchenguiz confirms that, in the best interests of her daughter's welfare, she has reached an out of court settlement on her divorce. The figure agreed was not determined by the court. Lisa would like to put four years of heavy litigation and emotional stress behind her in order to focus on her future. She requests that her and her daughter's privacy be respected."