A frequency-dependent line model is very significant for an accurate analysis of line and cable transients. This paper has proposed a methodology to obtain a frequency-dependent distributed-parameter line model of a cabtyre cable by employing an exponential curve fitting from a measured transient voltage and an injected current. The characteristic admittance and propagation function are expressed by exponential functions in Semlyen line model of EMTP (Electro-magnetic transient program) and Maple software has been used as an optimization tool. The frequency dependence of the per unit series impedance and shunt admittance and their phase angles are derived from the obtained propagation parameters. Simulation results by the proposed model agree well with the measured results. The proposed approach is expected to be useful to analyze a transient associated with the cabtyre cable.