A new type of nonlinear coupled transmission line which consists of two LC ladder lines connected by intermediary capacitors has been introduced in order to investigate theoretically and numerically a new class of localized solitary excitations, the so-called gap solitons. The nonlinear capacitor whose capacitance depends on the square root of the applied voltage is used in each line. These localized exitations are due to the nonlinearity-induced gap in the continuous wave spectrum of the coupled line.