In a sauce pot, combine sugar and 1 cup water. Over medium heat, bring to a simmer, stirring regularly, until sugar is dissolved and syrup is clear and no longer cloudy. Remove from heat and allow to cool completely.

In a blender, process strawberries until pureed. Strain through a fine mesh sieve to remove seeds.

In a pitcher, combine simple syrup, lime juice, pureed strawberries and 2 cups cold water. Stir well. To serve, pour into glasses over ice.