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. The contact element 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 and crystallites of nano-size embedded therein. Portions of the matrix separating adjacent the crystallites of the nanocomposite film have a thickness providing the matrix and hence the film with an electrical conductivity determined by a substantially two-dimensional character of the matrix.