Jason J. Galea, age 32, of Ossining, was arrested following the incident which took place around 9:30 p.m., Monday, Nov. 29 in Yorktown.
Officers were sent to a report of an assault in progress at a Yorktown residence, said the Yorktown Police.
An investigation found Galea injured a man by punching him in the face with a closed fist while he was holding the infant in his arms.
Galea turned himself in to police on Monday and was charged with assault and endangering the welfare of a child, police said.
He was arraigned and released on his own recognizance.
A judge issued an order of protection on behalf of the victims.
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