The explosion happened on 50th Street and 8th Avenue in Midtown.
All Saturday evening performances scheduled at New World Stages - 'Jersey Boys,' 'Avenue Q,' 'The Play that Goes Wrong,' 'Puffs,' and 'A Spirited History of Drinking' were canceled.
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The New World Stages theater complex was evacuated as a precaution.
The director of the Broadway show, 'The Play that goes Wrong,' wrote on Twitter,
'No show tonight. Everyone is safe and out of the building!'
Michael Coco, a representative for the company that runs New World Stages, says three windows cracked near the manhole blast and are being replaced Sunday.
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Coco, of the Shubert Organization, says all the shows will play as scheduled.
No injuries were reported. The fires were under control by 9:15 p.m.
The cause of the manhole fires is not yet known.
(The Associated Press contributed to this report.)