The screen-to-stage adaptation premiered in the West End last month
Shakespeare in Love has extended its booking period at the Noël Coward Theatre to 10 January 2015.
The show, based on the Oscar-winning screenplay by Marc Norman and Tom Stoppard, is adapted by Lee Hall, directed by Declan Donnellan and designed by Nick Ormerod.
Tickets for the new dates will go on sale to the general public from 1 September.
Tom Bateman stars as Will Shakespeare opposite Lucy Briggs-Owen as Viola De Lesseps.
The cast also features: Ian Bartholomew, Tony Bell, Anna Carteret, Paul Chahidi, David Ganley, Richard Howard, Harry Jardine, Abigail McKern, David Oakes, Patrick Osborne, Alistair Petrie, Doug Rao, Ferdy Roberts and Colin Ryan.
They are joined by an ensemble including Daisy Boulton, Michael Chadwick, Tom Clegg, Ryan Donaldson, Tim van Eyken, Janet Fullerlove, Amy Marchant, Sandy Murray, Timothy O'Hara, Thomas Padden, Elliott Rennie, Charlie Tighe and Barney as Spot the Dog.
Shakespeare in Love, which imagines Shakespeare as a young romantic who falls for a noblewoman, is produced by Disney and Sonia Friedman Productions