"Look around, look around at how
Lucky we are to be alive right now."
It had been slated to be shown in movie theaters later next year, in October, 2021.
The musical won 11 Tony Awards in 2016. It also won the Pulitzer Prize for Drama.
Deadline.com revealed Disney paid $75 million for worldwide rights, beating other suitors and paying what may be the largest sum ever for a finished film.
Miranda also made the announcement on his Facebook account.
*This story originally appeared on Reportr.world. Minor edits have been made by the Preview.ph editors.