A contact element for making an electric contact to a contact member for enabling an electric current to flow between the contact element and the contact member includes a body having at least one contact surface thereof coated with a contact layer to be applied against the contact member. The contact layer includes a nanocomposite film having a matrix of amorphous carbon and crystallites of nano-size, i.e. with dimensions in the range of 1-100 nm, of at least one metal carbide embedded therein.