Heat a Dutch oven or large skillet over medium-high heat. Cook and stir beef and onion in the hot Dutch oven until browned and crumbly, 5 to 7 minutes; drain and discard grease.

Meanwhile, chop the onion, mince the garlic, and slice the cabbage into small chunks.

Add cabbage, tomatoes, tomato sauce, water, garlic, salt, and pepper and bring to a boil. Cover Dutch oven, reduce heat, and simmer until cabbage is tender, about 30 minutes.