Disclosed is a complex alcohol ester composition comprising a polyester in which at least two molecules of a polyol represented by a formula I: R(OH)n (wherein R represents an n-valent aliphatic, alicyclic or aromatic group, one or more carbon atoms not adjacent to each other in R may be individually substituted with an oxygen atom, and n indicates an integer of 2 or more) are linked through at least two ester bonds via at least one molecule of a polybasic acid, and at least a part of the non-linked side chain ends of the polyol have a group represented by a formula II: (AO)kR2 (wherein R2 represents a hydrocarbon group, A represents a divalent linking group, and k indicates an integer) via a polybasic acid. The complex alcohol ester composition can be used a lubricant agent.