01 - In a medium saucepan, combine the cranberries, sugar, and water.
02 - Set the saucepan over medium-high heat and bring to a boil, stirring occasionally until the sugar fully dissolves.
03 - Reduce the heat and let the mixture simmer for 15–20 minutes, until the cranberries have burst and the syrup has thickened.
04 - Remove the saucepan from the heat and stir in the freshly squeezed lemon juice.
05 - Pour the mixture through a fine-mesh sieve into a heatproof bowl, pressing the solids firmly to extract as much liquid as possible. Discard the solids.
06 - Allow the syrup to cool to room temperature, then transfer to a clean glass bottle or jar. Refrigerate and use within 2 weeks.