Then the mother picks them up and takes them to another car, drawing the attack to a close.
A spot of blood can be seen trickling down the young girl's elbow as she is taken from the destroyed vehicle by her mother.
The video was shot by the ex-husband from inside the car that was parked in a seemingly leafy residential area of New Jersey.
A caption with the clip, that was uploaded to YouTube on Tuesday, says the family are of Dominican descent and that the unnamed woman was in a fit of jealous rage.
She was expected to hand herself over to the authorities yesterday, but did not show, making her a fugitive, according to the caption.
Relatives told Univision the driver is the woman's ex-husband and the two children, 3 and 5, are their children.
"This is very sad, right?" the woman's cousin, who chose not be identified, told Univision in Spanish. "This is not right. I don't know why this happened."
"You're going to rot in prison, you heard?" the man said to her during the violent ordeal.