Travis Tritt -- It's a Great Day ... TO HUNT GATORS!!!

Travis Tritt is a one-man alligator wrecking crew -- 'cause the country music legend put down a 13-footer recently that would even make the "Swamp People" blush.

Tritt was hanging in NYC yesterday when we asked about his penchant for hunting -- and Travis explained that he'll basically go after anything: "Gators, elk, deer ... you name it."

We did some digging and found out ... he's not kidding. Just last year, Tritt went out with the Beach Boys Gator Hunt in Florida ... and got himself a monster.

Fun Fact -- Travis is a big political activist and happens to be pro-death penalty ... for humans.