The present invention discloses the method for producing a tertiary amine, using the column reactor packed with catalyst layers, containing supplying a liquid and a gaseous raw materials from the bottom of the column, reacting these raw materials in the column, and discharging the product from the top of the column, wherein the column reactor includes two or more honeycomb catalyst layers as the catalyst layers, one or more spaces between each honeycomb catalyst layer, and one or more rectifying sections that prevents a partial or whole back flow of the raw materials, arranged in each space without contacting with the honeycomb catalyst layer.