This paper proposes a line-to-ground fault location algorithm for underground cable system. A feature of the proposed method is a new algorithm based on the analytic research which has not been tried until now. The proposed method firstly makes voltage and current equations using analysis of distributed parameter circuit for each of cores and sheathes respectively, and then establishes an equation of the fault distance according to the analysis of the fault conditions. Finally the solution of this equation is calculated by Newton-Raphson iteration method. The effectiveness of this proposed algorithm has been proven through PSCAD/EMTDC(Ver. 4.1) simulations.