Gather the ingredients so you're ready to make the recipe.
Place your food processor on the countertop, and place the ham, celery, and onion in the bowl of the processor.
I pushed the pulse button 20 short and quick times to get it to the consistency I wanted.
Be sure and scrape the sides of the bowl to mix it thoroughly.
Combine the mayo, pickle relish, and mustard and stir until mixed.
Add the meat mixture with the mayo mixture. Cover and chill for at least 2 hours.
Serve on rolls or use as a spread on your favorite crackers. The ham salad may or may not need salt, so use a little pepper first. Enjoy.