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A computer design of a 13.5 kW, 1497 MHz, CW type, 55% efficiency, 0.8 μP beam perveance, ∼40 dB gain, 5-cavity klystron has been developed for the JLAB 12 GeV Upgrade project. The design uses TRICOMP codes to simulate the gun, modulating anode section, solenoid focus channel and beam dump. The klystron tube was designed by JPNDISK (1D) code initially and then optimized by MASK (2D) code for the baseline parameters. All of these codes have been bench marked by JLAB 5 kW operational klystrons. The details of scaling laws, design parameters and the simulation results are presented.