Place the ground beef in a large pot over medium heat. Cook until browned, breaking it up with a spoon, then drain any excess fat.
Add the diced onion and minced garlic to the pot. Stir and cook for 3 minutes until the onion softens.
Stir in the chopped cabbage, cubed potatoes, diced tomatoes with their juice, beef broth, and oregano.
Season with salt and black pepper. Bring the mixture to a boil.
Reduce the heat to low, cover the pot, and simmer for 25 minutes until the potatoes and cabbage are tender.