Jeff Lowe Beefing With PETA Over Joe Exotic Tiger Killer Costume

Jeff Lowe is pissed off at PETA over a Joe Exotic Halloween costume ... and the animal rights organization is taking some major swipes back as their beef heats up!!!

Here's the deal ... PETA is hawking a "Joe Exotic Tiger Killer Costume" for $159.99 ... but Jeff isn't laughing at the funny costume and says he's owed a slice of the pie.

Jeff's lawyer fired off a cease and desist letter to PETA, obtained by TMZ, claiming he owns the rights to "Joe Exotic" and "Tiger King" and threatening a lawsuit if PETA doesn't pull the costume or come to the bargaining table to work out a licensing deal.

As you know ... Jeff now operates Joe's old zoo, The Greater Wynnewood Exotic Animal Park in Oklahoma.

PETA fired back with a letter of their own, which we also obtained, calling Jeff's claims "absurd" and claiming that, even if Lowe owns the trademarks, the costume is an obvious parody and doesn't violate any trademark.

The animal rights org takes some jabs at Jeff ... the letter advises, "We suggest Mr. Lowe focus instead on his serious legal problems in Nevada, Oklahoma and elsewhere, including the numerous recent federal Animal Welfare Act violations perpetrated against endangered big cats at his Greater Wynnewood Exotic Animal Park."

Nothing like Halloween costume beef in July!!!