Abstract: Based on the analysis of the complex transmission zeros' effect on the group delay and S parameters of the general Chebyshev filter, we find out that the real and imaginary parts mainly effect the amplitude and linear of the group delay, respectively. The linear of the filter is improved by adjusting the imaginary parts of the general Chebyshev filters' complex transmission zero. Then a linear phase filter which gives group delay equalization about 50% of the bandwidth (35.5 ±0.7 ns) with six cavites is designed using this method. A good agreement between the measured result and the synthesized one verifies validity of the method.