In a medium saucepan, combine sugar, water and shredded sweetened coconut over medium heat. Bring mixture to a gentle simmer, stirring occasionally until the sugar dissolves.

Once the sugar is completely dissolved, remove the pan from heat.

Let the syrup cool to room temperature. Strain the mixture using a fine mesh strainer, then transfer liquid to a clean container.

Store the simple syrup in an airtight container in the refrigerator for up to three weeks.