According to court documents, obtained by TMZ Sports, Bradham was pulled over in Leon County, Fla. after cops say the tag on his C8 Corvette did not belong to his car.

During the stop, officers say they noticed a strong smell of marijuana coming from his ride ... adding that Bradham told them he had a gun in the glove compartment as well.

Officers in the docs say Bradham told them he did not have his medical marijuana card on him, and cops say his name didn't show up in the registry. Officers then searched the vehicle -- and claim they found a huge amount of weed.

Cops say Bradham had "10 small plastic bags with marijuana in them" inside a satchel that also contained a Smith & Wesson pistol in it.

Officers also say when they searched the trunk of the Corvette, they found two more "large bags" of weed -- and say, in total, they located 3.45 lbs of marijuana in Bradham's car.

In the docs, cops also say the search on the gun in Bradham's glovebox, a Glock 23, came back as stolen in Missouri.

Bradham was eventually arrested and booked on three felonies -- possessing marijuana with the intent to sell, use of a firearm in the commission of a felony, and possession of marijuana over 20 grams.

Court records show he posted bond on Sunday.