It depends on what and why. In general, you enter everything on your W-2 just as it appears. After that, what happens to it may vary. So, for a more definitive answer, provide more detail.
A common example: you are a KY resident that works in Cincinnati, OH. Your employer withheld Cincinnati city tax in box 19 of your W-2 (but no Ohio state tax in box 17). What do yo do with that?
The reciprocity agreement, between KY and OH on state tax, does not apply to local city taxes. You are not required to file an OH city return, but you are also not entitled to a refund of the city withholding (box19 on your W-2), unless there was an error in the amount. If you are subject to a KY county or city tax, you should check to see if the KY city will give you a credit for the OH city tax withheld. KY does allow an itemized deduction (Schedule A) for local tax paid.
In the personal info section, when it asks if you made money in another state, answer NO, per the reciprocal state instructions, on that page. This will prevent TurboTax from thinking you need to file an OH return.
Do enter the box 19 amount at the W-2 screen, because it is deductible, if you itemize deductions on your federal return.
