No, you don't need to refrigerate balsamic glaze. Balsamic glaze also known as balsamic reduction is a concentrated form of balsamic vinegar which is why it can be safely stored at room temperature for up to a year. If you choose to refrigerate balsamic glaze, it will last for 6 months. Also, keep in mind that it thickens in the fridge so if you want to drizzle it on top of steak, veggies, and other foods, let it sit on the counter until it comes to room temperature. Also, give it a good stir with a whisk before serving.