Provided is a method of producing a zeolite film continuously and efficiently. The method of forming zeolite on a surface of a support is characterized in that the method includes: a first step of attaching zeolite fine crystals to a surface of a support; a second step of preparing synthetic gel for growing the fine crystals; a third step of putting the support and the synthetic gel into a continuous reactor and performing hydrothermal synthesis; and a fourth step of cleaning the support on which zeolite has been hydrothermally synthesized, and in the third step, the temperature, pressure, and flow of the synthetic gel in the continuous reactor is adjusted, the support is moved being immersed in the synthetic gel, the reaction time of the hydrothermal synthesis is adjusted by adjusting the time from when the support enters the continuous reactor to when the support exits the continuous reactor.