In a one-paragraph court filing, Cameron and Tyler Winklevoss said they would accept a settlement that was worth 65 million dollars (£42 million) when agreed upon in 2008.
The twins had sought to undo the settlement of 20 million dollars (£12.5 million) cash and 45 million dollars (£28 million) in stock.
The 9th US Circuit Court of Appeals ruled against the twins, saying they had been represented by a squadron of Silicon Valley lawyers and their father, a noted business professor.
The twins said they would forgo a trip to the US Supreme Court.
Their stock is now worth more than 100 million dollars (£62 million).
Source : Press Association