A high-quality flame-resistant fiber and carbon fiber at low costs in preparing a flame-resistant fiber and a carbon fiber by efficiently performing a flame retardation process in a short time as compared with a conventional technology are described. [1] If a polyacrylonitrile (PAN) polymer is degenerated with an oxidizing agent containing a thiolate compound and a nitrogen atom in a polymer, and the degenerated polymer is formed into threads so as to prepare a flame-resistant PAN fiber. [2] A flame-resistant PAN fiber is prepared by degenerating a PAN precursor fiber in a solution including a thiolate compound and an oxidizing agent containing a nitrogen atom. The flame-resistant PAN fiber obtained by the preparation method is heated at 300° C. or more to 3000° C. or less, and, thus, a carbon fiber having an excellent mechanical strength can be obtained.