There is disclosed a freezing-resistant oil-and-fat feedstock which is obtained by selective rearrangement with middle-chain saturated fatty acid residues at the 1st and 3rd positions of triglycerides and has a melting point of -18.degree. C. or lower as measured by differential scanning calorimetry (DSC). The oil-and-fat feedstock is composed of mixed fatty acid triglycerides (U.sub.2 M and UM.sub.2) at an mount of 10% by weight or more, based on the total weight of the feedstock, the fatty acid triglycerides consisting of unsaturated fatty acid residues (U) and middle-chain saturated fatty acid residues (M) and the ratio of U.sub.2 M to UM.sub.2 being 1/3 or higher. Also disclosed are methods for producing the freezing-resistant oil-and-fat feedstock and various kinds of frozen food utilizing the freezing-resistant oil-and-fat feedstock.