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In this paper, a multi-branch Indoor Power Line Network for Broadband Communication is modeled on the basis of ABCD matrix of two port network which leads to the formation of a transfer matrix, the element of which are used to find the transfer function of the multi-branch transmission line network consisting of taps up to 10 number. From the calculation of the transfer function we observed the nature of variation of signal attenuation and its effect for different combination of source, branch impedance, channel length, number of taps and load impedance respectively. Investigation on simulated result was carried out using MATLAB under different conditions in the frequency bands 0 Hz to 35 MHz. Results can be exploited for the optional design of broad band communication network.