Preheat oven to 350°F. Grease the donut pan with nonstick cooking spray and set aside.
Add dry cake mix, brown sugar, and pumpkin pie spice to a large mixing bowl and stir together.
Add the canned pumpkin puree and use the mixer at medium speed to mix until well combined, stopping halfway through to scrap the sides and bottom of the bowl.
Fill a piping bag (or large zip-lock bag with batter, cutting off ½ inch from the bottom), and pipe the batter into the coated donut pan (or just use a spoon).
Bake for 10-12 min, or until a toothpick comes out clean.
Place donuts on a wire cooling rack and cool for 5 min.