The actor is Zack Ward. He brought the character of the bully to life in a very memorable way. His appearance, with the coonskin cap and menacing look, was quite iconic. It's one of those performances that you don't forget easily when you think about the movie A Christmas Story.
It was Zack Ward who took on the role of the bully. His performance added a memorable element to the movie. He managed to capture the character's mean-spiritedness effectively.