High Times -- Hey Man, You Stole Our Name!

The high-minded folks at High Times magazine are accusing another publication of bogarting its name ... and they've put their bongs down long enough to file a lawsuit to protect what's theirs.

High Times claims a new magazine and web site called Mile High Times has no right to use the name. High Times name drops a slew of celebs to prove the power of its brand ... Arnold Schwarzenegger, Bob Dylan, Jerry Garcia, Woody Harrelson and, of course, Cheech and Chong.

High Times claims Mile High Times is using a name too similar to its own and it's likely to cause confusion. High Times readers are probably easily confused, so they have a valid point there.

High Times wants a judge to shut down the shameless name grab ... plus it wants damages and attorneys' fees to boot.

A rep for the company that owns Mile High Times tells TMZ they need to huddle with their council before making a comment.