A method for producing a multilayer film, the method comprising: a step for continuously coextruding, from a T die, a molten film of a multilayer film in which a first acrylic resin layer (α1), an aromatic polycarbonate resin layer (β), and a second acrylic resin layer (α2) are directly laminated in the stated order by using a coextrusion apparatus provided with an extruder and the T die; a step for feeding and pressing the molten film of the multilayer film between a first mirror-finished body that rotates or circulates and a second mirror-finished body that rotates or circulates so that the first acrylic resin layer (α1) is disposed on the first-mirror-finished-body side; and a step for holding the multilayer film pressed in the step against the first mirror-finished body and sending the pressed multilayer film to a subsequent third mirror-finished body that rotates or circulates, wherein the following formulae to are satisfied: Tα 1 − 15 ≤ TR 1 ≤ Tα 1 + 10 Tα 2 − 25 ≤ TR 2 < Tα 2 + 5 T β − 15 ≤ TR 1 wherein TR 1 is the surface temperature of the first mirror-finished body, TR 2 is the surface temperature of the second mirror-finished body, Tα 1 is the glass transition temperature of the acrylic resin constituting the first acrylic resin layer (α1), Tα 2 is the glass transition temperature of the acrylic resin constituting the second acrylic resin layer (α2), Tβ is the glass transition temperature of the aromatic polycarbonate resin constituting the aromatic polycarbonate resin layer (β), and all temperature units are °C; wherein each of the glass transition temperatures is a midpoint glass transition temperature calculated from a curve of a last temperature increase process measured by a program that uses a differential scanning calorimeter according to JIS K7121-1987, to be kept at 250°C for 3 minutes, cooled to 20°C at 10°C/min, kept at 20°C for 3 minutes, and increased to 250°C at 10°C/min. a step for continuously coextruding, from a T die, a molten film of a multilayer film in which a first acrylic resin layer (α1), an aromatic polycarbonate resin layer (β), and a second acrylic resin layer (α2) are directly laminated in the stated order by using a coextrusion apparatus provided with an extruder and the T die; a step for feeding and pressing the molten film of the multilayer film between a first mirror-finished body that rotates or circulates and a second mirror-finished body that rotates or circulates so that the first acrylic resin layer (α1) is disposed on the first-mirror-finished-body side; and a step for holding the multilayer film pressed in the step against the first mirror-finished body and sending the pressed multilayer film to a subsequent third mirror-finished body that rotates or circulates, wherein the following formulae to are satisfied: Tα 1 − 15 ≤ TR 1 ≤ Tα 1 + 10 Tα 2 − 25 ≤ TR 2 < Tα 2 + 5 T β − 15 ≤ TR 1 wherein TR 1 is the surface temperature of the first mirror-finished body, TR 2 is the surface temperature of the second mirror-finished body, Tα 1 is the glass transition temperature of the acrylic resin constituting the first acrylic resin layer (α1), Tα 2 is the glass transition temperature of the acrylic resin constituting the second acrylic resin layer (α2), Tβ is the glass transition temperature of the aromatic polycarbonate resin constituting the aromatic polycarbonate resin layer (β), and all temperature units are °C; wherein each of the glass transition temperatures is a midpoint glass transition temperature calculated from a curve of a last temperature increase process measured by a program that uses a differential scanning calorimeter according to JIS K7121-1987, to be kept at 250°C for 3 minutes, cooled to 20°C at 10°C/min, kept at 20°C for 3 minutes, and increased to 250°C at 10°C/min. wherein the following formulae to are satisfied: Tα 1 − 15 ≤ TR 1 ≤ Tα 1 + 10 Tα 2 − 25 ≤ TR 2 < Tα 2 + 5 T β − 15 ≤ TR 1 wherein TR 1 is the surface temperature of the first mirror-finished body, TR 2 is the surface temperature of the second mirror-finished body, Tα 1 is the glass transition temperature of the acrylic resin constituting the first acrylic resin layer (α1), Tα 2 is the glass transition temperature of the acrylic resin constituting the second acrylic resin layer (α2), Tβ is the glass transition temperature of the aromatic polycarbonate resin constituting the aromatic polycarbonate resin layer (β), and all temperature units are °C; wherein each of the glass transition temperatures is a midpoint glass transition temperature calculated from a curve of a last temperature increase process measured by a program that uses a differential scanning calorimeter according to JIS K7121-1987, to be kept at 250°C for 3 minutes, cooled to 20°C at 10°C/min, kept at 20°C for 3 minutes, and increased to 250°C at 10°C/min.