The Hamlet star discussed the idea in a recent interview with Collider, where he talked about his upcoming Jack Ryan film.
He said: "I would like to do an IMAX 3D Shakespeare film... I fancy a 40-minute A Midsummer Night's Dream in IMAX 3D."
Branagh is known for directing and starring in several Shakespeare films, including Much Ado About Nothing, Henry V and Love's Labour Lost.
He also recently directed the highly successful Marvel comic movie Thor, which starred Chris Hemsworth, Anthony Hopkins and Tom Hiddleston.
He is now set to helm Chris Pine in the new spy thriller Jack Ryan, in which he will also play the villain.