REUTERS/Shannon Stapleton Most Americans should file a state income tax return in addition to a federal income tax return. State income tax rates range from zero to 13.3%, depending on which state you live in and your income. You can do that through H&R Block or TurboTax— both of which offer free tax filing for eligible taxpayers — or an accountant. Seven US states have no state income tax — Alaska, Florida, Nevada, South Dakota, Texas, Washington, and Wyoming. After you file your tax return, you may get a state tax refund or a federal tax refund — or both.