Place the beef stew meat, carrots, potatoes, celery, onion, and garlic into the slow cooker.
In a separate bowl, stir together the beef broth, diced tomatoes, tomato paste, thyme, rosemary, bay leaves, salt, and pepper.
Pour the broth mixture over the ingredients in the slow cooker and stir gently to combine.
Cover and cook on low for 8 hours until the beef is tender and the vegetables are soft.
Stir in the frozen peas during the last 30 minutes of cooking.
Remove the bay leaves before serving and sprinkle each bowl with chopped fresh parsley.