Provided are a high-strength galvanized steel sheet containing 0.12% to 0.25% C, 0.01% to 1.00% Si, 1.5% to 4.0% Mn, 0.100% or less P, 0.02% or less S, 0.01% to 0.10% Al, 0.001% to 0.010% N, 0.005% to 0.100% Ti, and 0.0005% to 0.0050% B, the remainder being Fe and inevitable impurities, Ti>4N being satisfied. The high-strength galvanized steel sheet contains 80% to 100% martensite in terms of area fraction, 5% or less (including 0%) polygonal ferrite in terms of area fraction, and less than 3% (including 0%) retained austenite in terms of area fraction. The average hardness of martensite is 400 to 500 in terms of Vickers hardness (Hv). The average grain size of martensite is 20 μm or less. The standard deviation of the grain size of martensite is 7.0 μm or less.