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In the paper performance of the FTTH Gigabit Ethernet Passive Optical Network (GEPON) system with triple play services such as video broadcast at 1550 nm and voice over IP and high speed internet at 1490 nm with 1:32 splitting is evaluated using FEC technique. By using the FEC (Forward Error Correction) technique the transmission distance of fiber is increased from 20 Km to 30 Km and data rate is increased from 1.25 Gb/s to 2.50 Gb/s. The performance characteristics like bit error rate, quality factor, dispersion, optical power and eye diagrams are studied by simulating different systems. The simulation model of the GEPON based on the OptSim is presented according to the above principle.