Authorities said Robert Montoya, 52, was drunk behind the wheel with three teenage girls trapped inside, two of them his daughters.
One of the daughters made the frantic call to 911 as she attempted to get her dad to pull over. Dispatchers described the girls as being very frightened.
The car was heading north on Highway 41 toward the small town of Galisteo, but as the girls pleaded with Montoya to stop, he only went faster, authorities said.
During the 911 call, the operator instructed the caller, "Tell him to pull over."
The caller replied, "I'm trying; he's, like, going 100 now."
The ride ended in Galisteo, where police took Montoya into custody and found that he had been in trouble with the law before.
"Mr. Montoya has five previous DWI arrests," Santa Fe County Sheriff Greg Solano said.
Solano said Montoya admitted to drinking a six-pack of beer while waiting for the girls at a pumpkin patch. A closed can of beer was found in the vehicle.
Solano said officers could not complete a sobriety test on Montoya because he could not stand without possibly falling down.
Montoya is charged with one count of DWI and three counts of abandonment or abuse of a child.
Authorities said they hope being turned in by his daughter will keep Montoya from similar incidents in the future.