A high-strength galvanized steel sheet includes a base steel sheet having a specific chemical composition and a zinc coating layer disposed on the surface of the base steel sheet in a coating weight per side of 20 g/m2 to 120 g/m2, wherein the amount of hydrogen measured by a specific method is 0.05 mass ppm to 0.40 mass ppm; and ISisur/ISibulk and IMnsur/IMnbulk calculated by a specific method are not more than 2.0 and not more than 3.0, respectively.