Jon Jones Drag Racing Stop -- Cop Not In Trouble ... Over Heated Exchange

Sure, things got heated ... but the cop who traded insults with Jon Jones during his drag racing stop last week is NOT under review for his behavior ... the Albuquerque PD tells TMZ Sports.

The UFC fighter made it clear from the beginning of the stop that he was unhappy with the way he was being treated by Officer Brown on Thursday night ... calling him a "f*cking liar" and a "pig."

When Jones told Officer Brown he was "despicable" ... Brown fired back, "I feel the same way about you sir."

Now, the APD is making it clear they didn't feel Brown did anything overtly wrong.

"Officer Brown is not under any type of review," Public Information Officer Tanner Tixier tells us.

"[His] interaction with Mr. Jones didn’t violate any standard operating procedures so further inquiry isn’t warranted."