Heat oven to 350°F; line sheets with parchment.
Cream butter and 1 cup sugar in large bowl about 3 minutes until light and fluffy. Beat in eggs individually, then vanilla.
Separately whisk flour, cream of tartar, baking soda, and salt.
Gradually mix dry into butter just until combined.
Mix remaining ½ cup sugar and cinnamon in small bowl.
Roll into 1-inch balls; generously coat with cinnamon sugar.
Place 2 inches apart; bake 9-10 minutes until edges set and centers slightly soft.
Immediately press kiss into each warm center; cool on sheet 5 minutes, then transfer to rack.