Co-starring Alex Kingston as Lady Macbeth, the show played during the British festival last month.
The BBC said Branagh will make his New York stage debut in the staging of William Shakespeare's classic tragedy at Manhattan's Park Avenue Armory.
"I am delighted that we have the chance to recreate 'Macbeth' in this epic setting," Branagh said.
"We are thrilled that Kenneth Branagh will be coming to the armory to recreate this iconic role following his performance in Manchester this summer," said Alex Poots, the artistic director of both the Manchester International Festival and the restored armory. "And I am particularly excited that this production will mark his New York stage debut."