Prepare the citrus: Wash all the fruit. Slice your oranges, lemons, and limes in half, then juice them. If you're not a fan of pulp, strain it out. Save some slices for garnish.
Mix the base: In your punch bowl or pitcher, toss in the vodka, triple sec, all the juices, and the simple syrup. Give it a good stir to get everything mingling.
Chill the mixture: Pop the whole thing in the fridge for at least an hour. It lets the flavors get cozy and ensures your punch is nice and cold.
Finish the punch: Right before you're ready to serve, add the club soda. Stir gently—no one wants flat punch.
Add garnishes: Float the citrus slices on top and throw in a few sprigs of mint. It looks fancy and smells great.
Serve: Fill glasses with ice, ladle in the punch, and top each with a citrus slice and a little mint. That's it.
Make the base up to a day ahead if you want, but wait to add the soda and garnishes until you're about to serve.