Preheat a 9 or 10-inch nonstick skillet over medium high heat. Melt butter. Add the egg mixture. Move the egg mixture from the eggs of the pan to the center, while tipping the pan to fill the area that is now open. Continue around the pan.
When omelet is mostly set, but still a bit moist, add red peppers, onion, ham and cheese on the surface of the omelet. Fold the omelet in half and plate. Garnish with additional ham and red peppers. Enjoy.
Watch how easy it is to make a Ham and Cheese Omelet.