The warrant states 20-year-old Brianna Ashanti Lofton "confessed to the act."
Lofton is facing charges of felony child abuse, contributing to delinquency and possession of marijuana.
Mother charged after video shows baby inhaling marijuana
A version of the video that 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.
Allan Maldonado, 18, is also facing charges of contributing to the delinquency of a child and possession of a Schedule VI controlled substance.