The present invention provides a reaction apparatus which is used for gas-liquid chemical reaction and is capable of producing a target reaction product. The present invention provide a reaction apparatus for conducting a gas-liquid chemical reaction in the state that a liquid is in a continuous phase,wherein its reactor has therein a shear type stirring impeller for dispersing a raw reaction gasor a carrier gas and a film-formed catalyst; and a process for producing a tertiary amine. This reaction apparatus is preferably used to react a primary or secondary amine with an alcohol.