Green Bay Packers tight end Lance Kendricks was cited for having weed in his car back in September after getting pulled over for speeding ... TMZ Sports has learned.

Here's what we know ... Kendricks was clocked going 81 in a 70 mph zone when he was on his way home from the Wisconsin Badgers football game on Sept. 2. According to the police report, the cop "could smell a strong odor of marijuana emitting from the vehicle."

Cops say Kendricks apologized for the smell ... and after initially denying there were any drugs in the car, he later 'fessed up to having weed in the glove box.

Cops say they say also found a Louis Vuitton bag with a black glass container with a "green leafy substance," 2 packs of rolling papers, and a blue grinder.