A high-strength hot-dip galvanized steel sheet having excellent plating adhesion, formability, and hole expandability with an ultimate tensile strength of 980 MPa or more, the hot-dip galvanized steel sheet comprising a hot-dip galvanized layer formed on a surface of a base steel sheet, wherein the base steel sheet contains: by mass%, C: 0.05% to 0.4%; Si: 0.01% to 3.0%; Mn: 0.1% to 3.0%; Al: 0.01 to 2.0%; in which Si + Al > 0.5% P: limited to 0.04% or less; S: limited to 0.05% or less; N: limited to 0.01% or less; and optionally one or two or more of: by mass%, Cr: 0.05 to 1.0%; Mo: 0.05 to 1.0%; Ni: 0.05 to 1.0%; Cu: 0.05 to 1.0%; Nb: 0.005 to 0.3%; Ti: 0.005 to 0.3%; V: 0.01 to 0.5%; B: 0.0001 to 0.1%; Ca: 0.0005 to 0.01%; Mg: 0.0005 to 0.01%; REM: 0.0005 to 0.01%; and a balance including Fe and inevitable impurities, a microstructure of the base steel sheet contains 40% or more by total volume fraction of martensite and bainite, 8% or more by volume fraction of residual austenite, and a balance of the microstructure being ferrite or ferrite and 10% or less by volume fraction of pearlite, the martensite contains 10% or more by total volume fraction of two or more kinds of three kinds of martensites,, and below, and the hot-dip galvanized layer contains less than 7 mass% of Fe, the martensite: C concentration (when there is a cementite precipitation, also including C in cementite); CM1 is less than 0.8 mass%, and nano-indentation test hardness Hit1 satisfies Expression 1: Hit 1 / − 982.1 × CM 1 2 + 1676 × CM 1 + 189 ≤ 0.50 the martensite: C concentration (when there is a cementite precipitation, also including C in cementite); CM2 is 0.8 mass% or more, and nano-indentation test hardness Hit2 satisfies Expression 2: Hit 2 / − 982.1 × CM 2 2 + 1676 × CM 2 + 189 ≤ 0.50 the martensite: C concentration (when there is a cementite precipitation, also including C in cementite); CM3 is 0.8 mass% or more, and nano-indentation test hardness Hit3 satisfies Expression 3: 0.5 < Hit 3 / − 982.1 × CM 3 2 + 1676 × CM 3 + 189 ≤ 0.80 wherein the base steel sheet contains: by mass%, C: 0.05% to 0.4%; Si: 0.01% to 3.0%; Mn: 0.1% to 3.0%; Al: 0.01 to 2.0%; in which Si + Al > 0.5% P: limited to 0.04% or less; S: limited to 0.05% or less; N: limited to 0.01% or less; and optionally one or two or more of: by mass%, Cr: 0.05 to 1.0%; Mo: 0.05 to 1.0%; Ni: 0.05 to 1.0%; Cu: 0.05 to 1.0%; Nb: 0.005 to 0.3%; Ti: 0.005 to 0.3%; V: 0.01 to 0.5%; B: 0.0001 to 0.1%; Ca: 0.0005 to 0.01%; Mg: 0.0005 to 0.01%; REM: 0.0005 to 0.01%; and a balance including Fe and inevitable impurities, a microstructure of the base steel sheet contains 40% or more by total volume fraction of martensite and bainite, 8% or more by volume fraction of residual austenite, and a balance of the microstructure being ferrite or ferrite and 10% or less by volume fraction of pearlite, the martensite contains 10% or more by total volume fraction of two or more kinds of three kinds of martensites,, and below, and the hot-dip galvanized layer contains less than 7 mass% of Fe, the martensite: C concentration (when there is a cementite precipitation, also including C in cementite); CM1 is less than 0.8 mass%, and nano-indentation test hardness Hit1 satisfies Expression 1: Hit 1 / − 982.1 × CM 1 2 + 1676 × CM 1 + 189 ≤ 0.50 the martensite: C concentration (when there is a cementite precipitation, also including C in cementite); CM2 is 0.8 mass% or more, and nano-indentation test hardness Hit2 satisfies Expression 2: Hit 2 / − 982.1 × CM 2 2 + 1676 × CM 2 + 189 ≤ 0.50 the martensite: C concentration (when there is a cementite precipitation, also including C in cementite); CM3 is 0.8 mass% or more, and nano-indentation test hardness Hit3 satisfies Expression 3: 0.5 < Hit 3 / − 982.1 × CM 3 2 + 1676 × CM 3 + 189 ≤ 0.80