The Klein–Gordon equation for a recently proposed Yukawa-type potential is solved with any or-bital quantum number l. In the equally mixed scalar-vector potential fields the approximateenergy eigenvalues and their wave functions for a particle and anti-particle are obtained by means of the parametric Nikiforov–Uvarov method. The non-relativistic solutions are also investigated. It is found that the present analytical results are in exact agreement with the previous ones.