Provided is a plastic fat composition prepared using only fats and/or oils which are essentially free from trans acid residues as a raw material fat and/or oil, in which coarsening of the fat crystals during storage is suppressed. The fat composition is prepared by blending the fats and/or oils that are essentially free from trans acid residues as a raw material fat and/or oil with a specific mono- and diglycerides of fatty acids. The mono- and diglycerides of fatty acids have a palmitic acid content of 10% or more, and a palmitic acid and stearic acid content of 90% or more, based on 100% of the fatty acid constituting the mono- and diglycerides of fatty acids and are essentially free from trans acids and have a diester content of 50% by mass or more and monoester content of 5% by mass or less, based on 100% by mass of the mono- and diglycerides of fatty acids.