A high-strength galvanized steel sheet excellent in bendability with maximum tensile strength of 900 MPa or more, comprising an alloyed galvanized layer formed on a surface of a base steel sheet containing, in mass%, C: 0.075 to 0.300%, Si: 0.30 to 2.50%, Mn: 1.30 to 3.50%, P: 0.001 to 0.050%, S: 0.0001 to 0.0100%, Al: 0.005 to 1.500%, N: 0.0001 to 0.0100%, and O: 0.0001 to 0.0100%, and optionally further containing, in mass%, one or more of Ti: 0.005 to 0.150%, Nb: 0.005 to 0.150%, B: 0.0001 to 0.0100%, Cr: 0.01 to 2.00%, Ni: 0.01 to 2.00%, Cu: 0.01 to 2.00%, Mo: 0.01 to 1.00%, W: 0.01 to 1.00%, V: 0.005 to 0.150%, and 0.0001 to 0.5000 mass% in total of one or more of Ca, Ce, Mg, Zr, Hf, and REM, with a balance being constituted of iron and inevitable impurities, wherein: retained austenite is limited to 8% or less in volume fraction in a range of 1/8 thickness to 3/8 thickness of the base steel sheet; when plural measurement regions with a diameter of 1 μm or less are set in the range of 1/8 thickness to 3/8 thickness of the base steel sheet, measurement values of hardness in the plural measurement regions are arranged in an ascending order to obtain a hardness distribution, an integer N0.02 is obtained, which is a number obtained by multiplying a total number of measurement values of hardness by 0.02 and rounding up this number when this number includes a fraction, hardness of a measurement value which is N0.02-th largest from a measurement value of minimum hardness is taken as 2% hardness, an integer N0.98 is obtained, which is a number obtained by multiplying a total number of measurement values of hardness by 0.98 and rounding down this number when this number includes a fraction, and hardness of a measurement value which is N0.98-th largest from a measurement value of minimum hardness is taken as 98% hardness, kurtosis K* of the hardness distribution between the 2% hardness and the 98% hardness is -0.30 or less; a ratio between Vickers hardness of surface layer of the base steel sheet and Vickers hardness of 1/4 thickness of the base steel sheet is 0.35 to 0.70; and a content of iron in the alloyed galvanized layer is 8 to 12% in mass%, wherein the 'hardness' used for hardness distribution is determined by using a dynamic micro hardness tester having a Berkovich type triangular pyramid indenter to measure hardness by push-in depth measurement method with a push-in load of 1 g weight. retained austenite is limited to 8% or less in volume fraction in a range of 1/8 thickness to 3/8 thickness of the base steel sheet; when plural measurement regions with a diameter of 1 μm or less are set in the range of 1/8 thickness to 3/8 thickness of the base steel sheet, measurement values of hardness in the plural measurement regions are arranged in an ascending order to obtain a hardness distribution, an integer N0.02 is obtained, which is a number obtained by multiplying a total number of measurement values of hardness by 0.02 and rounding up this number when this number includes a fraction, hardness of a measurement value which is N0.02-th largest from a measurement value of minimum hardness is taken as 2% hardness, an integer N0.98 is obtained, which is a number obtained by multiplying a total number of measurement values of hardness by 0.98 and rounding down this number when this number includes a fraction, and hardness of a measurement value which is N0.98-th largest from a measurement value of minimum hardness is taken as 98% hardness, kurtosis K* of the hardness distribution between the 2% hardness and the 98% hardness is -0.30 or less; a ratio between Vickers hardness of surface layer of the base steel sheet and Vickers hardness of 1/4 thickness of the base steel sheet is 0.35 to 0.70; and a content of iron in the alloyed galvanized layer is 8 to 12% in mass%, wherein the 'hardness' used for hardness distribution is determined by using a dynamic micro hardness tester having a Berkovich type triangular pyramid indenter to measure hardness by push-in depth measurement method with a push-in load of 1 g weight.