Bring water and cranberries to a boil in a Dutch oven or big pot. Lower heat, cover, and simmer for 20 minutes, or until berries start to pop.

Discard berries after pressing the mixture through a fine sieve. Refill the pan with cranberry juice. Add sugar, orange juice, and lemon juice after stirring. As it starts to boil, heat and stir it until the sugar dissolves.

Get rid of the heat. Cool. Add to a pitcher, cover, and chill in the fridge.