Add the sugar, water, and pitted cherries to a medium saucepan and heat over medium heat until simmering. Simmer for 15 minutes, stirring occasionally and squishing the cherries with a spatula.
After simmering for 15 minutes, remove from heat and stir in the almond extract. Strain the cherries from the syrup with a fine mesh strainer, reserving the liquid and discarding the cherry pulp.
Allow the cherry syrup to cool at room temperature for 15 minutes. After cooling time, transfer the syrup to a syrup bottle or mason jar with a lid and store in the fridge for up to 2 weeks.