Gather all ingredients.

Melt butter in a large soup pot over medium-low heat. Stir in celery, onion, and sliced garlic; cook and stir until onions are translucent but not brown, 5 to 8 minutes.

Stir in split peas, ham, and bay leaf. Pour in chicken stock and water; stir to combine and simmer until peas are tender and soup has thickened, about 1 hour and 15 minutes. Stir occasionally.

Season with salt and black pepper to serve.

Enjoy!