EXCLUSIVE

Legendary ventriloquist Jeff Dunham can sleep soundly again ... because we've learned cops have neutralized the person who made multiple death threats targeting him.

According to legal docs obtained by TMZ, L.A. police recently executed a warrant to search Twitter records for the identity of a user who threatened the lives of Jeff and his family.

Among the tweets ...

-- "Wanna go scare some kids?? Maybe kill 'em too? I'ts all yers buddy [sic]."

-- "YOUR NEXT ON MY LEEST ... Guess who's outsideeeee"

-- "You have approximately 4 months b4 death ... CHOOSE what you WILL do b4 you DIEEEEE...."

-- Then to Jeff's wife ... "Your husbands name was spoken ... 4 months is his limit ... of DEATH ... I WILL DRAG HIM INTO MY CAPTURE ...."