Models Busted Trying to 'Streak' in Risqué Santa Outfits at 49ers Game

49ers vs. Rams Models In Santa 'Fits Rush Field ... He Sees You When You're $treaking!!!

3:24 PM PT -- TMZ Sports has obtained more footage from the incident ... which shows the two ladies chatting with cops as they were escorted off the field.

It's rather funny -- one of the women begs an officer to not "hate" her -- but based on his reaction, that probably wasn't the case.

The cop was a good sport over it all, saying they weren't going to get in too much trouble ... and admitted the crowd probably "appreciated" the whole ordeal.

As for whether the stunt made it to the Prime Video broadcast ... they got the bad news that the league makes an effort to keep acts like thee off the air.

Two models made the 49ers vs. Rams game a bit more memorable -- hopping a fence and running around on the field in some skimpy Santa-ish outfits, and naturally, the stunt got 'em on the "naughty" list ... with cops.

The ladies -- Toochi Kash and Amberghini -- had lower-level seats Thursday night for the NFC West showdown ... but at one point in the action, they took matters into their own hands to get a field-level view.

The models -- who have social media followings in the millions -- rocked festive one-piece ensembles, white snow boots and Santa hats ... with the word "$treak" written on the back.

We're told the stunt was meant to make some noise for a meme coin that recently launched ... but stadium staffers on site were a bunch of Grinches.

Amber tried to dash onto the field first after jumping over the railing, but Levi's Stadium security chased her down right before she reached the playing field.

Toochi was caught rather quickly and held up a sign while security restrained her ... but she remained jolly like St. Nick himself through it all.

We reached out to law enforcement to get more details on the legal trouble they'll be in -- as far as the North Pole goes, though, they can expect coal under their trees this year.