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.