A method for making a semiconductor integrated circuit device comprises the steps of: (a) depositing a first underlying film made of titanium nitride, on an insulating film having a plurality of through-holes; (b) depositing a tungsten film on the first underlying film, and etching the tungsten film back by means of a fluorine-containing plasma thereby leaving the tungsten film only in the connection holes; (c) sputter etching the surface of the first underlying film to remove the fluorine from the surface of the first underlying film; and (d) forming an aluminum film on the first underlying film. The semiconductor integrated circuit device obtained by the method is also described.