Minnesota Withholding Tax is state income tax you as an employer take out of your employees' wages. 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.The contractor must have an IRS identification number (ITIN) or U.S. Social Security number. 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. If you have fulfilled the requirements of Minnesota withholding tax laws, we will sign your Contractor Affidavit and return it to you. 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.). 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 an independent contractor, do not complete a W-4 for Iowa.