The year 1637 in literature involved some significant events.
- Hamlet is performed before King Charles I and Queen Henrietta Maria at Hampton Court Palace on January 24.
- On October 2, the London theatres re-open; they had been closed almost continuously since May 1636, due to a severe outbreak of bubonic plague.
- The King's Men mount a production for the Court of William Cartwright's The Royal Slave, a play that was first staged at Christ Church, Oxford the previous year. The company is paid an extra £30 "for their pains in studying and acting" the drama.