DEER JUSTICE can be brutal ... just ask hockey stud Alex Ovechkin who wants to literally DEVOUR the antlered menace that wrecked a fence at his Virginia home.

It all started on Friday -- Ovi posted a photo of the banged up gate with the caption, "For all the other deer that want in my yard, use the gate please.! hahaha"

Then came the death threat -- Ovi posted a picture of a slab of venison (deer steak) with the broken-English warning ... "Find the deer who destroy my property!!! hahaha."

Translation -- you mess with my property and I WILL EAT YOU!!!!!!!

Godspeed Bambi.