In a Dutch oven, cook the beef, onions, celery over medium heat until meat is no longer pink. Add garlic; cook 1 minute longer. Drain.
Stir in the tomatoes, Worcestershire sauce, steak sauce, chili powder, paprika and pepper. Bring to a boil. Reduce heat; simmer, uncovered, for 20 minutes or until thickened and heated through. Serve on buns.