The most common mortgage types for residential properties are an FHA loan and a Conventional loan.
Depending on the loan program, the required minimum down payment amount varies. For FHA loans it is 3.5% but keep in mind that with less than 20% down you'd have to pay "mortgage insurance".
The Fannie Mae conventional 97 loan program allows for home financing with just 3%. However, it may be difficult to secure the mandatory mortgage insurance if you have a low credit score.
USDA has ZERO down payment loan programs. To be eligibile, the property location must be in a designated rural zone.
Find out more about the low down payment mortgage programs.