In large bowl, combine powdered sugar and margarine; beat until light and fluffy. Add orange peel and egg; blend well.
Lightly spoon flour into measuring cup; level off. Stir in flour, baking soda, cream of tartar and cinnamon; mix well. Cover with plastic wrap; refrigerate 1 hour for easier handling.
Heat oven to 375°F. On lightly floured surface, roll out 1/3 of dough at a time to 1/8-inch thickness. Keep remaining dough refrigerated. Cut with floured 2-inch cookie cutter. Place 1 inch apart on ungreased cookie sheets.
Bake at 375°F. for 6 to 9 minutes or until edges are light golden brown. Immediately remove from cookie sheets. Cool 5 minutes or until completely cooled. Decorate as desired.