A steel material that has on its surface a non-hexavalent-chromium type corrosion-resistant coating film formed by a composite of a metal layer and a resin layer. The steel material having or not having a copper layer is formed with 1) a Zn and/or Zn-based alloy layer, 2) a Zn/Ni alloy layer which is on this Zn and/or Zn-based alloy layer, 3) a de-Zn layer which is on the Zn/Ni alloy layer and is obtained by chemically treating the surface of the Zn/Ni alloy layer, and 4) at least one resin covering layer which is on this de-Zn layer, which are successively formed to make a corrosion-resistant coating film, the corrosion-resistant coating film, which is superior in adhesion between the metal layer and resin layer, being obtained by way of taking into account the use of a trivalent chromium type chromate layer instead of a hexavalent chromium type chromate layer (which is a substance that places a burden on the environment).