Place 3 cups cooked ham in a food processor and gently pulse until the ham is diced into small pieces but not a paste.
Transfer the ham to a large mixing bowl. Stir in 1 cup celery (finely diced), ¾ cup mayonnaise, 1 tablespoon Dijon mustard, 2 tablespoons sweet relish, and ? teaspoon black pepper.
Mix until well combined.
Cover and refrigerate for at least 2 hours before serving.
Before serving, taste and add additional salt and pepper if needed.
Serve on bread as a sandwich or with crackers and enjoy!
Notes
Store any leftovers in an airtight container for up to 5 days.