A production method and others according to the present embodiment is provided with a structure for effectively preventing the occurrence of accidental spiking during the drawing of a fiber from the base material. In order to control the concentration of remaining He in the center part of the base material, a transparent glass rod that has a predetermined outer diameter and is already sintered butis not added with an alkali metal yet is annealed in a He-free atmosphere for an annealing time that is determined with reference to result data in which the relationship between a time period of annealing and a concentration of remaining He is previously recorded for every outer diameter. In the result data, an actually measured data of the concentration of remaining He in a produced optical fiber base material and a time of annealing are added as annealing treatment results.