Add the sugar and water to a medium saucepan and bring to a boil.
Lower the heat to a simmer and add the tea bags. Simmer for 3 minutes and them remove from the heat.
Cover and let the mixture steep for about 10 minutes. Then either let it continue to cool to room temperature, or use an ice bath to quickly cool everything down.
Take the tea bags out of the syrup and discard.
Use a fine mesh strainer and a funnel to pour the liquid into your storage container, straining out any loose tea leaves as you pour.
You can use it right away, or store it for up to a month in the refrigertor. Discard at any sign of cloudiness or mold.