Add bacon pieces in a heavy bottomed pot and sauté over medium heat until the bacon starts to cook and curl, about 5 minutes.
Then add chopped onion and sauté until the onions have softened, about 3 minutes. Add the minced garlic and cook for an additional minute.
Add the trimmed green beans, chicken broth, and butter to the pot and stir. Cover and reduce the heat to medium-low. Cooked covered for about 20 minutes, stirring occasionally.
After 20 minutes, add the cut red potatoes and stir. Cover and continue cooking for an additional 15 minutes, until the red potatoes and green beans have softened.
Remove from heat and season with salt and pepper. Serve and enjoy.