The present invention provides a sol of spinous inorganic oxide particles not containing coarse particles, in which particles having extremely homogeneous particles are dispersed in a solvent. An acidic silicic acid is added to a dispersion liquid of core particles to grow core particles, and then again the acidic silicic acid is added at the addition rate 1.2 to 1.8 higher than that in the previous step to prepare a sol of spinous inorganic oxide particles. Then the sol is subjected to centrifugation to remove coarse particles having the diameter of 800 nm or more, thus spinous inorganic oxide particles having peculiar form such as a spinous one being obtained.