The incident took place in Cherepanovo town in Novosibirsk region.
The car with pitch-black windows was spotted and signalled to stop by a traffic patrol, police said.
The motorist ignored the signal to stop and instead reversed to the premises of a nearby warehouse.
When the two patrolmen approached his car there, he addressed them with a string of profanities and tried to flee - biting the hand of an officer who tried to stop him.
The other officer managed to subdue the man, who was also threatening to burn down the officers' houses.
The 26-year-old local resident, whose name was withheld, was detained.
The fine for having excessively tinted car windows in Russia is only 500 rubles ($16), but cars can also be stripped of their license plates until the violation is corrected.