NFL Rookie Mike Evans -- INSANE NIGHTCLUB BRAWL ... Throws Punches at Bouncers

Tampa Bay Bucs rookie wide receiver Mike Evans was in the middle of an INSANE nightclub brawl -- fighting bouncers in the street ... and TMZ Sports has the footage.

It all went down outside Dream Nightclub ... where the #7 overall pick in the 2014 NFL draft was screaming at bouncers. We're told Evans had been partying inside the club moments before the video begins.

The person who shot the video tells TMZ Sports the footage was captured Saturday night. However, Mike's agent insists the incident took place back in March.

While Evans -- who just turned 21 yesterday -- unloads on the staff, a person who appears to be in Mike's entourage throws a punch at a bouncer ... and that's when all hell breaks loose.

During the melee, Mike gets knocked out of frame ... but comes running back into the center of the madness ... throwing a haymaker.

He continues to throw punches -- while bobbing and weaving like the superstar athlete that he is.

Despite the presence of several men wearing "police" vests -- we're told Mike was not arrested. In fact, we're told NO ONE was arrested.

According to the nightclub's website, you have to be 21 to enter -- and Mike was only 20 at the time of the incident.

We reached out to Mike's rep and the Bucs. So far, no word back.

1:36 PM PT -- Mike's GF posted a photo of the couple back in March, wearing the same clothes they were in on the night of the fight. It's pretty clear, this thing went down in March.