Preheat oven to 350 degrees. Lightly grease a 9 by 9 inch square baking pan. In medium saucepan, combine honey, brown sugar, oil and cinnamon.
Bring to a boil and boil for 2 minutes; do not stir In large mixing bowl, combine oats and blueberries.
Stir in honey mixture until thoroughly blended. Spread into prepared pan, gently pressing mixture flat Bake until lightly browned, about 40 minutes.
Cool completely in the pan on a wire rack. Cut into l ½ to 3 inch bars.