A high-strength galvanized steel sheet, characterized by including: a base steel sheet having a chemical composition, by mass%, C: 0.01% to 0.30%, Si: 0.01% to 1.5%, Mn: 0.1% to 3.0%, P: 0.003% to 0.1%, S: not more than 0.01%, Al: 0.001% to 0.20%, and the balance being Fe and inevitable impurities, and a zinc coating layer disposed on the surface of the base steel sheet in a coating weight per side of 20 g/m 2 to 120 g/m 2, wherein the amount of hydrogen measured by method 1 below being 0.05 mass ppm to 0.40 mass ppm, and I Si sur /I Si bulk and I Mn sur /I Mn bulk calculated by method 2 below being not more than 2.0 (I Si sur /I Si bulk ≤ 2.0) and not more than 3.0 (I Mn sur /I Mn bulk ≤ 3.0), respectively, (Method 1) after the zinc coating layer is removed from the high-strength galvanized steel sheet, the base steel sheet is heated from room temperature to 250°C and the amount of hydrogen released from the base steel sheet during the heating is measured, (Method 2) after the zinc coating layer is removed from the high-strength galvanized steel sheet, the base steel sheet is analyzed by glow discharge spectrometry and sputtered at an Ar gas flow rate of 250 cm 3 and a current of 20 mA for 500 seconds to determine the maximum intensity of silicon (I Si sur) and the maximum intensity of manganese (I Mn Sur) in the surface portion of the base steel sheet and the average intensity of silicon (I Si bulk) and the average intensity of manganese (I Mn bulk) inside the base steel sheet, wherein the surface portion extends to a depth where the Si and Mn concentrations are constant, and I Si sur /I Si bulk and I Mn sur /I Mn bulk are calculated. a base steel sheet having a chemical composition, by mass%, C: 0.01% to 0.30%, Si: 0.01% to 1.5%, Mn: 0.1% to 3.0%, P: 0.003% to 0.1%, S: not more than 0.01%, Al: 0.001% to 0.20%, and the balance being Fe and inevitable impurities, and a zinc coating layer disposed on the surface of the base steel sheet in a coating weight per side of 20 g/m 2 to 120 g/m 2, wherein the amount of hydrogen measured by method 1 below being 0.05 mass ppm to 0.40 mass ppm, and I Si sur /I Si bulk and I Mn sur /I Mn bulk calculated by method 2 below being not more than 2.0 (I Si sur /I Si bulk ≤ 2.0) and not more than 3.0 (I Mn sur /I Mn bulk ≤ 3.0), respectively, (Method 1) after the zinc coating layer is removed from the high-strength galvanized steel sheet, the base steel sheet is heated from room temperature to 250°C and the amount of hydrogen released from the base steel sheet during the heating is measured, (Method 2) after the zinc coating layer is removed from the high-strength galvanized steel sheet, the base steel sheet is analyzed by glow discharge spectrometry and sputtered at an Ar gas flow rate of 250 cm 3 and a current of 20 mA for 500 seconds to determine the maximum intensity of silicon (I Si sur) and the maximum intensity of manganese (I Mn Sur) in the surface portion of the base steel sheet and the average intensity of silicon (I Si bulk) and the average intensity of manganese (I Mn bulk) inside the base steel sheet, wherein the surface portion extends to a depth where the Si and Mn concentrations are constant, and I Si sur /I Si bulk and I Mn sur /I Mn bulk are calculated. (Method 1) after the zinc coating layer is removed from the high-strength galvanized steel sheet, the base steel sheet is heated from room temperature to 250°C and the amount of hydrogen released from the base steel sheet during the heating is measured, (Method 2) after the zinc coating layer is removed from the high-strength galvanized steel sheet, the base steel sheet is analyzed by glow discharge spectrometry and sputtered at an Ar gas flow rate of 250 cm 3 and a current of 20 mA for 500 seconds to determine the maximum intensity of silicon (I Si sur) and the maximum intensity of manganese (I Mn Sur) in the surface portion of the base steel sheet and the average intensity of silicon (I Si bulk) and the average intensity of manganese (I Mn bulk) inside the base steel sheet, wherein the surface portion extends to a depth where the Si and Mn concentrations are constant, and I Si sur /I Si bulk and I Mn sur /I Mn bulk are calculated.