Auctioneer Andrew Aldridge said the handwritten note was bought by an anonymous telephone bidder at an auction in Devizes, western England today.
The price, which includes a fee known as the buyer's premium, topped the pre-sale estimate of 100,000 pounds.
The letter was written by second-class passenger Esther Hart on April 14, 1912. "The sailors say we have had a wonderful passage up to now," she said in the note to family in England.