Minnesota Withholding Tax is state income tax you as an employer take out of your employees' wages. You will need a Minnesota Tax ID Number and an active withholding tax account.All nonresident alien employees must fill out two W-4 forms at the time of hire, one for Federal withholding and one for State withholding. To complete an enterable form on a computer: Download the Word document to your computer. Open your saved file and select the View tab in the upper left corner. This manual will contain Best Practice recommendations based on industry standards. As our patient, you have certain rights in how you receive care and how we communicate your private health information. The four chapters in this part provide basic information on the tax system. They take you through the first steps of filling out a tax return. This is not tax advice this is just information on how to fill out a Minnesota W4.