An amorphous inorganic silicon nitride-based fiber composed of silicon, nitrogen and carbon, optionally with oxygen and hydrogen and having an atomic ratio between above respective elements of N/Si=0.3 to 3, O/Si=up to 15, C/Si=p to 7 and H/Si=up to 15, and obtained by heating a polysilazane fiber at a temperature elevation rate of not more than 20.degree. C./min in a temperature range of 300.degree. to 600.degree. C., pretreating the polysilazane fiber with ammonia in a temperature range of not more than 600.degree. C., and heating the polysilazane fiber to convert said fiber to an inorganic silicon nitride-based fiber, wherein ratios of X-ray scattering intensity thereof to that of air at 1.degree. and 0.5.degree. are from 1 to 10 respectively and the silicon nitride-based fiber is still amorphous after heating in an inactive atmosphere at 1200.degree. C. for 1 hour.