A method of making an oil-and-fat capable of being used as a non-tempering hard butter of a non-lauric acid type, having a sharp melting property (meltability in the mouth), good compatibility with a cacao butter and a low trans-fatty acid content, includes fractionating an oil-and-fat A comprising a first non-laurin-based oil-and-fat containing 50 to 100 mass % of SUS type triglyceride and a non-laurin-based transesterification oil containing 12 to 38 mass % of SSU type triglyceride or an oil-and-fat B obtained by partially hydrogenating the oil-and-fat A so as to obtain a soft portion.