Police used a patrol car to stop the car on State Highway 3 near the intersection with Okoki Rd.
"This was at low speed and nobody was injured," the spokeswoman said.
A patrol car was also damaged in the pursuit.
The driver, a 26-year-old man, is facing a number of charges including failing to stop for a Covid-19 checkpoint, assault with a weapon (the car) and reckless driving.
He is scheduled to appear in New Plymouth District Court on Monday.
The Taranaki checkpoint had been set up on Thursday evening following a Government announcement Waikato's level 3 bubble would be extended south to the Mōkau River.
Stuff reported the man was a "gang member". Police said there was "nothing to suggest he is a Covid risk".