A trisaturated fatty acid, glyceride-containing oil composition is produced in a step (1) of preparing an oil mixture containing saturated fatty acids (S) in an amount of 45 to 75 wt % and unsaturated fatty acids (U) in an amount of 25 to 55 wt % in all constituent fatty acids by mixing an oil containing SSSs in an amount of 35 wt % or more with an oil having an iodine value of 35 or more a step (2) of interesterifying the oil mixture with a lipase a step (3) of obtaining an oil containing liquid and solid oils by crystallizing the oil mixture without use of solvent until the value (X-Y), wherein X is the SSS content (wt %) of the oil after interesterification and Y is the solid oil content (%) during crystallization, becomes 2 to 13 and a step (4) of separating the liquid oil by fractionation of the oil.
