Gather the ingredients.

Place green and red peppers, jalapeños, celery, carrots, onion, and cauliflower in a large bowl. Stir in salt, then fill with enough cold water to cover. Place plastic wrap or aluminum foil over the bowl; refrigerate for 8 hours to overnight.

Drain salty water; rinse vegetables and set aside.

Mix together olives, garlic, oregano, red pepper flakes, and black pepper in a medium bowl. Pour in vinegar and olive oil; mix well. Combine with vegetable mixture; cover and refrigerate for 2 days before using.