Authorities say driver Christopher Sharp refused to stop early Sunday morning after being clocked by police in the Texas city of Canyon with driving the vehicle at 120 mph.
The New Mexico Department of Public Safety says the sedan entered New Mexico on State Road 202 in northeastern Roosevelt County.
Officials say the car driven by Sharp was stopped by using tire deflation devices near the community of Midway.
Sharp was booked on aggravated fleeing from police.
Authorities say Toni Rodriguez was a passenger in the sedan and that she was booked with being an accessory to aggravated fleeing from police.