The disclosure aims to provide compositions comprising highly enriched PUFA or alkyl ester thereof while containing fatty acid esters of 3-MCPD at adequately low concentrations and to provide an efficient method for producing the composition.The proposed composition contains fatty acids or fatty acid alkyl esters as its major component, the composition containing highly unsaturated fatty acid or alkyl ester thereof, wherein the proportion of the highly unsaturated fatty acid in the constituent fatty acids of the composition is 50 area% or more and wherein the concentration of 3-MCPD, as found by analysing the composition using American Oil Chemists' Society official method Cd 29b-13 assay A, is less than 1.80 ppm.