Employers are not required to withhold Ohio income tax for an employee who lives and works in another state, even if the work is performed for an Ohio company. This is based on reciprocal agreements between Illinois and these states.Employers are expected to withhold state income tax from an employee's wages if that employee is subject to state income tax unless noted below. Each state has different tax rules regarding payroll withholding for out-of-state employees. Here's what to know about managing out-of-state employees. Employers in Ohio and these states must withhold income tax from the state of the employee's residency. Complete Form W-4 so that your employer can withhold the correct federal income tax from your pay. Give Form W-4 to your employer. Employers should withhold taxes in a non-resident employee's home state. A state W-4 Form is a tax document that serves as a guide for employers to withhold a specific amount on each paycheck to go towards state taxes.