In a small saucepan, combine the white sugar and ginger beer.
Add the peeled and thinly sliced fresh ginger to the saucepan.
Heat over medium-low heat, stirring occasionally, until the sugar dissolves completely.
Simmer for an additional 5 minutes to infuse the ginger flavor into the syrup.
Remove from heat and let it cool.
Once cooled, strain out the ginger slices, and the ginger syrup is ready.