To provide a production method of fatty acid alkyl ester and/or glycerol, and a catalyst for the production method which sufficiently suppress structural changes of main catalytically-active metal component or the like even when using the catalyst repeatedly or using the catalyst for a long period, on the production of fatty acid alkyl ester and/or glycerol according to reaction of a fatty or oily material and alcohol, moreover, which can maintain superior catalytic activity even in the presence of water, can exhibit high catalytic activity in both reactions of interesterification of glycerides contained in oils and fats, and esterification of free fatty acid, can exhibit high catalytic activity even in the presence of impurities of the free fatty acid (FFA) or the like contained in oils and fats, therefore, can maintain the high activity over a long term, further elongating the life of the catalyst, further stabilizing the reaction system and improving productivity, qualities, etc., of products, and simplifies or makes elaborate step such as recovery step of catalyst unnecessary and is efficiently suited for applications of food, fuel, etc.

The production method of fatty acid alkyl ester and/or glycerol includes a step of bringing oils and fats into contact with alcohol in the presence of a catalyst, wherein the catalyst contains oxides which comprises manganese element, aluminum element and a third component element, and the third component element is at least one element selected from elements belonging to eighth to twelfth groups of the periodic table.