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Cleveland Browns running back Isaiah Crowell ﻿is donating this season's first NFL game check to a Dallas police organization after facing intense backlash over an Instagram post ... TMZ Sports has learned.

The post was an illustration of a police officer having his throat slashed by a masked man. Crowell immediately deleted it, but not before it spread across social media.

Crowell apologized, but as we first told you ... police organizations felt the apology was empty, and one threatened to organize a police boycott of Browns home games this season.

Now, Crowell's putting his money where his mouth is, vowing to donate an entire game check to the Dallas Fallen Officer Foundation, which supports families of officers killed in the line of duty.

FYI -- Isaiah will reportedly make $600k this season, and a game check is typically 1/16th of a player's salary ... so the donation should be about $37,500.