Simmer. Heat the sugar and water in a small saucepan over high heat, stirring frequently, until the mixture reaches a simmer. Continue stirring until the sugar has completely dissolved.
Steep. Remove pan from the heat. Stir in the lavender and let the mixture steep for 15 minutes.
Strain. Pour the mixture through a fine-mesh strainer* into a heat-safe jar. Let cool until the syrup reaches room temperature, then cover and refrigerate for up to 2 weeks.
Notes
Straining the lavender: If you find that there are still some grainy bits in the syrup, you may need to place a cheesecloth or paper towel in the strainer to help strain out the tiniest bits.