Abstract We design band pass filter using general coupling matrix synthesis methods with Chebyshev filtering function. The band pass filters with low return loss and efficient high performance can be synthesized in the form of coupling resonators. The transfer polynomials with canonical network can create the coupling which determine the performance of a microwave filter. On the other hand, the coupling coefficients in the matrix, between the resonators are strongly faction of the geometry of resonators that were modeled of distributed elements. In this paper, the inter-resonator coupling will be modeled using conformal mapping algorithm and the coupling matrix synthesis procedure will be discussed.