A molding material comprising at least a carbon fiber-reinforced thermoplastic resin composition comprising the following components and, carbon fiber and a thermoplastic resin, the molding material being a prepreg with width 1 to 50 mm, the components and being applied to the carbon fiber as a sizing agent, or the molding material being one of the following molding materials, and; component: a bifunctional or higher functional epoxy compound and/or an epoxy compound which has a monofunctional or higher epoxy group and has one or more types of functional groups selected from a hydroxyl group, an amide group, an imide group, a urethane group, a urea group, a sulfonyl group and a sulfo group; and component: 0.1 to 25 parts by mass, based on 100 parts by mass of the component, of at least one reaction accelerator selected from the group consisting of the following compounds[a], [b] and[c]: [a] a tertiary amine compound and/or tertiary amine salt having a molecular weight of 100 g/mol or more; [b] a quaternary ammonium salt having a cation site represented by the following general formula or: wherein R 1 to R 5 each represent a hydrocarbon group with a carbon number of 1 to 22, a group containing a hydrocarbon with a carbon number of 1 to 22 and an ether structure or a group containing a hydrocarbon with a carbon number of 1 to 22 and an ester structure or a group containing a hydrocarbon with a carbon number of 1 to 22 and a hydroxyl group; and R 6 and R 7 each represent hydrogen, a hydrocarbon group with a carbon number of 1 to 8, a group containing a hydrocarbon with a carbon number of 1 to 8 and an ether structure or a group containing a hydrocarbon with a carbon number of 1 to 8 and an ester structure; and [c] a quaternary phosphonium salt; wherein the [c] quaternary phosphonium salt is any of quaternary phosphonium salts represented by the following general formula; wherein R 30 to R 33 each represent a hydrocarbon group with a carbon number of 1 to 22, a group containing a hydrocarbon with a carbon number of 1 to 22 and an ether structure, a group containing a hydrocarbon with a carbon number of 1 to 22 and an ester structure or a group containing a hydrocarbon with a carbon number of 1 to 22 and a hydroxyl group; and the anion site X-represents any of halogen ions such as a fluoride anion, a chloride anion, a bromide anion and an iodide anion, a hydroxide anion, an acetate anion, an oxalate anion, a sulfate anion, a benzenesulfonate anion, a tetraphenylborate ion, a tetrafluoroborate ion, a hexafluorophosphate ion, a bis(trifluoromethylsulfonyl)imide ion and a toluenesulfonate anion; molding material: a pillar-shaped molding material in which carbon fiber is arranged almost in parallel in the axial center direction and the length of carbon fiber is equal to the length of the molding material, the molding material having a length of 1 to 50 mm; molding material: molding material in which carbon fiber is in the form of a single fiber and two-dimensionally oriented; and molding material: molding material in which carbon fiber is in the form of a bundle and two-dimensionally oriented, the carbon fiber having a length of 1 to 50 mm. [a] a tertiary amine compound and/or tertiary amine salt having a molecular weight of 100 g/mol or more; [b] a quaternary ammonium salt having a cation site represented by the following general formula or: wherein R 1 to R 5 each represent a hydrocarbon group with a carbon number of 1 to 22, a group containing a hydrocarbon with a carbon number of 1 to 22 and an ether structure or a group containing a hydrocarbon with a carbon number of 1 to 22 and an ester structure or a group containing a hydrocarbon with a carbon number of 1 to 22 and a hydroxyl group; and R 6 and R 7 each represent hydrogen, a hydrocarbon group with a carbon number of 1 to 8, a group containing a hydrocarbon with a carbon number of 1 to 8 and an ether structure or a group containing a hydrocarbon with a carbon number of 1 to 8 and an ester structure; and [c] a quaternary phosphonium salt; wherein the [c] quaternary phosphonium salt is any of quaternary phosphonium salts represented by the following general formula; wherein R 30 to R 33 each represent a hydrocarbon group with a carbon number of 1 to 22, a group containing a hydrocarbon with a carbon number of 1 to 22 and an ether structure, a group containing a hydrocarbon with a carbon number of 1 to 22 and an ester structure or a group containing a hydrocarbon with a carbon number of 1 to 22 and a hydroxyl group; and the anion site X-represents any of halogen ions such as a fluoride anion, a chloride anion, a bromide anion and an iodide anion, a hydroxide anion, an acetate anion, an oxalate anion, a sulfate anion, a benzenesulfonate anion, a tetraphenylborate ion, a tetrafluoroborate ion, a hexafluorophosphate ion, a bis(trifluoromethylsulfonyl)imide ion and a toluenesulfonate anion; molding material: a pillar-shaped molding material in which carbon fiber is arranged almost in parallel in the axial center direction and the length of carbon fiber is equal to the length of the molding material, the molding material having a length of 1 to 50 mm; molding material: molding material in which carbon fiber is in the form of a single fiber and two-dimensionally oriented; and molding material: molding material in which carbon fiber is in the form of a bundle and two-dimensionally oriented, the carbon fiber having a length of 1 to 50 mm.