Guests will be offered tailored theatrical performances by the RSC, which produces shows by William Shakespeare, his contemporaries and other writers past and present.
Those onboard will also have the opportunity to see new work from the RSC with Miss Littlewood, a musical by Sam Kenyon.
Cast members will lead a series of workshops for guests wanting to learn more about the company and theatre acting.
Vice President of brand and product at Cunard, Lee Powell, said: "We are delighted to welcome the Royal Shakespeare Company on board our flagship, Queen Mary 2.
"To be able to offer our guests access to unique performances by world leaders in both contemporary theatre and Shakespeare’s finest work, is an extraordinary opportunity which I know our guests will fully immerse themselves in."
The three-year partnership will begin on 29 May until 12 August 2022 and then again from 15 September to 13 November 2022.