Place eggs in a saucepan and cover with cold water; bring to a boil, then remove from heat, cover, and let stand for 12 minutes before transferring to an ice bath.
In a medium mixing bowl, combine the Greek yogurt, Dijon mustard, lemon juice, salt, and pepper until smooth.
Add the drained tuna to the bowl, flaking it with a fork into smaller pieces.
Fold in the chopped hard-boiled eggs, diced celery, and minced red onion.
Gently mix until all ingredients are evenly coated with the dressing.