The 20-year-old mother of the 1-year-old baby was arrested last week.
Now 18-year-old Allan Maldonado is also facing charges of contributing to the delinquency of a child and possession of a Schedule VI controlled substance.
The arrest warrant states that Maldonado "knowingly...caused, encourage and aid..." the child to smoke a marijuana blunt.
A version of the video that's received more than 1 million views was posted by a user who urged the mother's arrest.
The 10-second video showed the hand of an adult off-screen holding what appeared to be a cigarillo to the child's lips. The child then appeared to inhale and puff smoke.