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.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. Subject to withholding must be withheld as Minnesota withholding tax. Your Minnesota employer will use the federal Form W-4 or the Minnesota W-4MN to determine the amount of Minnesota income tax to be withheld from your wages. If you are a non-Minnesota resident, contact your state for tax withholding requirements.).