A production method for a fiber-reinforced composite material comprising: a step of stacking a prepreg plurally to obtain a prepreg-stacked body; and a step of heating the prepreg-stacked body to cure a resin, wherein the prepreg comprises: a reinforcing fiber layer including reinforcing fibers and a resin composition with which a space between fibers of the reinforcing fibers is impregnated and which contains (A) a benzoxazine resin, (B) an epoxy resin, and (C) a curing agent having 2 or more phenolic hydroxy groups in a molecule; and a surface layer provided on at least one surface of the reinforcing fiber layer and containing (A) a benzoxazine resin, (B) an epoxy resin, (C) a curing agent having 2 or more phenolic hydroxy groups in a molecule, and (D) polyamide resin particles having an average particle size of 5 to 50 μm, wherein the polyamide resin particles include (D1) a first polyamide resin particle and (D2) a second polyamide resin particle having a higher melting temperature measured in a composition constituting the surface layer than the first polyamide resin particle has, and wherein the second polyamide resin particle (D2) consists of polyamide 1010 resin particles. a step of stacking a prepreg plurally to obtain a prepreg-stacked body; and a step of heating the prepreg-stacked body to cure a resin, wherein the prepreg comprises: a reinforcing fiber layer including reinforcing fibers and a resin composition with which a space between fibers of the reinforcing fibers is impregnated and which contains (A) a benzoxazine resin, (B) an epoxy resin, and (C) a curing agent having 2 or more phenolic hydroxy groups in a molecule; and a surface layer provided on at least one surface of the reinforcing fiber layer and containing (A) a benzoxazine resin, (B) an epoxy resin, (C) a curing agent having 2 or more phenolic hydroxy groups in a molecule, and (D) polyamide resin particles having an average particle size of 5 to 50 μm, wherein the polyamide resin particles include (D1) a first polyamide resin particle and (D2) a second polyamide resin particle having a higher melting temperature measured in a composition constituting the surface layer than the first polyamide resin particle has, and wherein the second polyamide resin particle (D2) consists of polyamide 1010 resin particles. a reinforcing fiber layer including reinforcing fibers and a resin composition with which a space between fibers of the reinforcing fibers is impregnated and which contains (A) a benzoxazine resin, (B) an epoxy resin, and (C) a curing agent having 2 or more phenolic hydroxy groups in a molecule; and a surface layer provided on at least one surface of the reinforcing fiber layer and containing (A) a benzoxazine resin, (B) an epoxy resin, (C) a curing agent having 2 or more phenolic hydroxy groups in a molecule, and (D) polyamide resin particles having an average particle size of 5 to 50 μm, wherein the polyamide resin particles include (D1) a first polyamide resin particle and (D2) a second polyamide resin particle having a higher melting temperature measured in a composition constituting the surface layer than the first polyamide resin particle has, and wherein the second polyamide resin particle (D2) consists of polyamide 1010 resin particles. <EOS>