Provided is a method for moving, in a vacuum chamber carrying therein a fixedly-provided evaporation source, a substrate toward the evaporation source together with a mask closely attached to the substrate surface, and onto the surface substrate, evaporating a material vaporized in the evaporation source through an aperture formed to the mask. In this method of the invention, means for moving the substrate toward the evaporation source is provided with cooling means not to come in contact with but to be in proximity to a surface of the mask on the evaporation source side, and a cooling plate formed with an aperture proximal to the evaporation source is disposed. With such a configuration, the steam of the material coming from the evaporation source is directed to the mask and the substrate through the aperture of the cooling plate. As such, the material film evaporated on the substrate surface shows a satisfactory distribution of film thickness, and any possible misalignment from desired positions of evaporation can be accordingly suppressed.