In this paper, a novel method to design microstrip filters with arbitrary passband is proposed. A kind of stubloaded microstrip filter with asymmetric structure is proposed in this paper. The mathematic function of the total reflection coefficient at the input port of the filter is derived based on the reflection theory, and an ultra-wide-band (UWB) filter which can work from 11 GHz to 39 GHz is fabricated and measured to verify that our function can calculate the reflection coefficient precisely. The circuit model of this UWB filter is provided, and the comparison between frequency responses of the circuit simulation and the calculation results justifies the validity of our proposed method. The procedure based on the Monte Carlo method to design stub-loaded microstrip filters with arbitrary passbands is given in this paper. A bandpass filter (BPF) which can work on 7-9.5 GHz is designed and measured as an example. The comparison between calculated dimensions and practical dimensions of this filter shows a satisfactory fitting degree. Then the proposed method is compared with the Chebyshev filter design method to show the advantages of our proposed method. A low-pass filter (LPF) which can work below 4 GHz is designed and compared with some prior arts in order to show that our proposed filter is simple in structure and small in size. At last, the adaptabilities of our proposed method in narrow band and multi-band situations are discussed in this paper. By using our proposed method, the stub-loaded microstrip filter can be designed quickly and easily. Based on the results mentioned above, we can count that the method proposed in this paper has a good application in microstrip filter design.[30] DONG, X. M., ZHOU, D. X. Learning gradients by a gradient descent algorithm. His research interests include microwave circuits design, wireless communication and wave propagation.