Measure out and prepare all the ingredients. In a bowl, whisk together the eggs and heavy whipping cream until fluffy.

Season with salt and pepper and add in half of the shredded cheddar cheese.

In a frying pan over medium heat, melt the butter. Add the diced ham, onion, and pepper. Let cook for 1 - 2 minutes.

Add the cheesy egg mixture into the frying pan. Let cook until it is almost firm.

Lower the heat to low and add the rest of the cheese in.

Fold the omelet in half.

Serve and enjoy!