Strontium molybdate (SrMoO4) thin films with scheelite-structure were prepared directly on the metal molybdenum substrates by constant current electrochemical technique with emphasizing on the study of the growth characteristics of the films. The SEM images of the films deposited for the different time were carried out. It is found that the growth of SrMoO4 crystalline thin film by electrochemical method possesses special characteristics as follows: (1) The formation of the crystalline nucleuses needs a certain period of time, and the shape of the crystalline nucleuses is integrated at the beginning of the formation of the nucleuses; (2) The places where these crystalline nucleus and granules pile up and grow are those of the defects such as the fold, nick, disfigurement, and cave and convex inequality at the substrate; (3) The quantity and the size of the crystalline granules increase with the preparation time, the crystalline granules are dispersed gradually from sparseness to all over of the substrate; (4) The｛111｝faces of SrMoO4 crystals always appear during the growth; and (5) During the whole preparation process, the crystalline granule grows in the direction that its c axis is perpendicular to the surface of the substrate. It is sure that the results are of great significance for the research on the growth of crystals and crystalline films, especially for the research on the growth of crystals and crystalline films by electrochemical method. (From Journal of Synthetic Crystals)