PURPOSE: To obtain an antifreezing oil or fat improved in low-temperature flow and oxidation stability by subjecting oil or fat containing mono- and diethylenic unsaturated fatty oil or fat containing a middle-chain saturated fatty acid to esterification or transesterification.

CONSTITUTION: 60-95 pts.wt. Oil or fat containing at least 80wt.%, based on the constituent fatty acids, 16C or higher mono- and diethylenic unsaturated fatty acids and 5-40 pts.wt. oil or fat containing at least 90wt.%, based on the constituent fatty acids, 6-12C middle-chain saturated fatty acids are transesterified in the presence of a lipase having a specificity for the positions 1 and 3 of a glyceride to obtain an antifreezing edible oil or fat containing at least 60wt.%, based on the constituent fatty acids, 16C mono- and diethylenic unsaturated fatty acids and 5-40wt.%, based on the constituent fatty acids at the positions 1 and 3 of the glyceride, 6-12C middle-chain saturated fatty acids.