Abstract The cutoff frequency of heteromophic waveguide in special structure is solved with the matching of electric and magnetic field on the invented boundary by vector partial differen-tial operator theory. The method rnay be used to solving the cutoff frequency of almost all of the modes precisely and expediently. The method rnay also be used to calculating the trausmit-ting characteristics of ridged waveguide and other heteromophic waveguide loaded rectaugular metal.