A method of manufacturing a tin-plated steel sheet includes forming an Sn-containing plating layer on at least one surface of a steel sheet so that the mass per unit area of Sn is 0.05 to 20 g/m2; forming a first chemical conversion coating by immersing the steel sheet in a first chemical conversion solution containing tetravalent tin ions and phosphate ions or cathodically electrolyzing the steel sheet in the first chemical conversion solution; forming a second chemical conversion coating after forming the first chemical conversion coating without drying the steel sheet by immersing the steel sheet in a second chemical conversion solution containing 5 to 200 g/L of aluminum phosphate monobasic and having a pH of 1.5 to 2.4 or cathodically electrolyzing the steel sheet in the second chemical conversion solution; and drying the steel sheet.