Danny Rubin, who wrote the film script, and Matilda director Matthew Warchus, will also be on board.
Tim Minchin, who revealed the news on his blog, said: “Our version of Groundhog Day is going to be both instantly recognizable, and utterly different.”
The 1993 film, starring Bill Murray, is considered to be a comedy classic.
The movie tells the story of a grumpy weatherman who is sent to a small town to do a weather report and gets stuck in a time loop, having to live the same day over and over again until he learns how to be a better person.
Tim Minchin wrote: “The central conceit is perfectly suited to the theatre… it has the potential to be complex, dark, visually fascinating, and thematically rich, whilst still being a joyous romantic comedy with cool tunes and lots of gags.
“It’s certainly not an easy job, and I’m truly honored – and genuinely excited – that Danny is letting me have a crack at it.”
He added that Stephen Sondheim had considered adapting Groundhog Day for the stage a few years ago but “it got put on the back burner, and he is now happy that we’re making a go of it. We have Steve’s blessing – and it’s a blessing I value enormously.”
Tim Minchin added that he hoped Groundhog Day would be on the stage in a couple of years but did not reveal where.
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