Why does my W-2 form Box 20 Locality Name says "Various" and how should I handle this in filing?

[regina-stack]

I work in Kentucky but reside in Ohio. Do use both cities to fill out this part of the form? Or do I leave it blank?

[Hal_Al]

It doesn't matter. If there is an amount in box 19, be sure to enter it at the W-2 screen to get your fedearl deduction (if you itemize). Type box 20 various, just like you received it. 

KY, like OH, has local city & county income tax. If you work in those locations, your employer is required to withhold tax. You are not required to file a KY county/city tax return and you cannot get any of that money refunded. So it doesn't matter what city got your money. I would assume your job requires you to work in more than one location

The reciprocity agreement, between OH & KY on state taxes, does not apply to local city taxes.  You can not get those refunded, but if you live in an Ohio city with a tax, they may give you a credit or partial credit. Many do.  You need to check with your city.