Ex-NFL star running back Marshawn Lynch was arrested in Las Vegas on Tuesday ... after cops claim he was driving under the influence.

LVMPD says 36-year-old Lynch was pulled over near the Las Vegas Strip on Fairfield Avenue and West Utah Avenue around 7:25 AM on Tuesday. Sources tell TMZ Sports he was driving into curbs on the side of the road before the traffic stop.

After speaking with Lynch, cops believe he was driving under the influence ... and was taken to jail.

Lynch did not submit to a breathalyzer, but we're told he had his blood drawn.

Marshawn played for 12 seasons in the league ... winning Super Bowl XLVIII with the Seahawks in Feb. 2014.

Lynch -- who played for the Buffalo Bills, Seattle Seahawks and Oakland Raiders during his career -- is a 5-time Pro Bowler and 2-time NFL rushing touchdown leader.

In the regular season, he had 10,413 rushing yards, 85 rushing TDs, 2,214 receiving yards and 9 receiving TDs.

Off the field, Lynch co-owns the Beasts of the Fan Controlled Football league ... and Bay Area Panthers in Indoor Football League.

It's not the first time Lynch has been arrested for DUI -- in 2012, he was busted after cops determined his blood alcohol level was above the .08 limit while driving in Oakland.

Story developing ...