The present invention provides a glyceride composition which contains little fatty acid ester of glycidol and/or fatty acid ester of 3-chloropropane-1,2-glycol; a preparing method of the glyceride composition; a method for reducing the content of fatty acid ester of glycidol and/or fatty acid ester of 3-chloropropane-1,2-glycol in the glyceride composition; and a method for restricting the generation of the fatty acid ester of glycidol and/or fatty acid ester of 3-chloropropane-1,2-glycol. The preparing method of the glyceride composition is characterized in that: the glyceride composition comprises at least one selected from a group which is composed of: 3-chloropropane-1,2-glycol, the fatty acid ester of 3-chloropropane-1,2-glycol, glycidyl and the fatty acid ester of the glycidyl; the glyceride composition further comprises more than 3% of diglyceride, and deodorization treatment is performed for the composition in a temperature condition of 100-240 DEG C.