A method for producing a composite molded article obtained by bonding a molded article obtained by melt-molding a polyarylene sulfide resin composition to a cured product produced from a curable resin composition containing an epoxy resin, the method comprising a step of subjecting the molded article to an annealing treatment, and a step of bonding the annealed molded article and the cured product to each other, wherein the polyarylene sulfide resin composition is obtained by blending and melt-kneading, as essential components, a polyarylene sulfide resin, an epoxy resin, and an olefin wax containing a carboxyl group and a carboxylic acid anhydride group and having an acid value of 65 [mgKOH/g] to 150 [mgKOH/g], determined according to a method provided in JIS K 3504, and with respect to 100 parts by mass of the polyarylene sulfide resin, the content of the epoxy resin is in a range of 1 to 250 parts by mass, and the content of the olefin wax is in a range of 0.01 to 5 parts by mass, wherein the step of bonding is (i) a step of bringing the curable resin composition containing an epoxy resin into contact with the molded article and then curing the curable resin composition or (ii) a method including melting a preannealed molded product by heating at least a part of a surface of the molded product to be bonded with the curable resin composition during bonding, and then bringing the melted molded article into contact with the curable resin composition containing an epoxy resin and curing the curable resin composition, wherein the step is a step of annealing in a range of 100°C to 260°C, and wherein the polyarylene sulfide resin composition is obtained by blending the epoxy resin such that an amount of epoxy groups per 1 g of the polyarylene sulfide resin composition is in a range of 1 [umol] to 500 [μmol]. the method comprising a step of subjecting the molded article to an annealing treatment, and a step of bonding the annealed molded article and the cured product to each other, wherein the polyarylene sulfide resin composition is obtained by blending and melt-kneading, as essential components, a polyarylene sulfide resin, an epoxy resin, and an olefin wax containing a carboxyl group and a carboxylic acid anhydride group and having an acid value of 65 [mgKOH/g] to 150 [mgKOH/g], determined according to a method provided in JIS K 3504, and with respect to 100 parts by mass of the polyarylene sulfide resin, the content of the epoxy resin is in a range of 1 to 250 parts by mass, and the content of the olefin wax is in a range of 0.01 to 5 parts by mass, wherein the step of bonding is (i) a step of bringing the curable resin composition containing an epoxy resin into contact with the molded article and then curing the curable resin composition or (ii) a method including melting a preannealed molded product by heating at least a part of a surface of the molded product to be bonded with the curable resin composition during bonding, and then bringing the melted molded article into contact with the curable resin composition containing an epoxy resin and curing the curable resin composition, wherein the step is a step of annealing in a range of 100°C to 260°C, and wherein the polyarylene sulfide resin composition is obtained by blending the epoxy resin such that an amount of epoxy groups per 1 g of the polyarylene sulfide resin composition is in a range of 1 [umol] to 500 [μmol].