Provided are a high-strength galvanized steel sheet and a method for producing the high-strength galvanized steel sheet. The high-strength galvanized steel sheet includes a base steel sheet having a specific composition and a microstructure including ferrite and carbide-free bainite, martensite and carbide-containing bainite, and retained austenite, the total area fraction of ferrite and carbide-free bainite being 0% to 65%, the total area fraction of martensite and carbide-containing bainite being 35% to 100%, and the area fraction of retained austenite being 0% to 15%, the content of diffusible hydrogen in the base steel sheet being 0.00008% by mass or less (including 0%) and a galvanizing layer disposed on the base steel sheet. The density of gaps in the galvanizing layer, that the gaps cutting across the entire thickness of the galvanizing layer, is 10 gaps/mm or more.