Place the beef stew meat, pearl onions, carrots, potatoes, garlic, thyme, bay leaves, salt, and black pepper into the slow cooker.
Pour the beef bone broth over the ingredients and stir gently to combine.
Cover and cook on low for 7 hours.
Add the green beans, stir once, and continue cooking for 1 more hour until the beef is tender and the green beans are cooked through but still hold their shape.
Remove the bay leaves before serving.