Combine sugar with 400 ml (approximately 1 2/3 cup) of water and bring to a boil. Remove from heat, add lime juice and raspberry syrup and allow to cool.
Rinse and pat dry raspberries. Add to syrup. Pour syrup into 4 tall and narrow glasses. Place into a freezer. As soon as popsicles start to freeze, insert wooden sticks in the middle. Freeze until solid. Remove from glasses and serve.