Items on the menu, which is dated April 12, included mutton chops, Melton Mowbray pie and tapioca pudding.
The menu was owned by Elise Lurette, one of about 700 people who survived after Titanic hit an iceberg in April 1912 and sank in the Atlantic waters.
The document will go under the hammer at Henry Aldridge and Son auctioneers in Devizes, Wiltshire, on October 18, 'BBC News' reported.
Lurette was working as a maid for a family travelling on the ship when it sank.
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Lurette kept the documents and left them to her family when she died the year after the disaster aged 60.
"To have a menu, especially one from lunch on April 12 that survived the sinking in Ms Lurette's coat pocket, alongside a first-class deck plan, which was used on the Titanic and has remained in the family for over a century, is unheard of," auctioneer Andrew Aldridge said.
In March 2012, a menu of the last meal served to first class passengers on board the Titanic sold for 76,000 pounds by the same auctioneers.