Complete Form W-4MN so that your employer can withhold the correct Minnesota income tax from your pay. Consider completing a new Form.Downloadable tax withholding sample for employees in the state of Minnesota. Complete Section 1 on page. 1, then follow the steps in the worksheet on the next page to find additional allowances. Minnesota taxes are calculated using the Minnesota Withholding Tax Tables (pdf). Section 2 — Exemption from Minnesota withholding. Section 2 — Exemption from Minnesota withholding. Do all nonprofit organizations qualify for a CES number? Does a Wisconsin veterans organization need a CES number?