This thesis included three parts. The first part is design of shunt reactor with open stubs and short stubs, and then we can form a multi-band filter by the shunt reactor. The second part and the third part are application of the first part. The second part is a multi-band branch-line coupler. By the shunt reactor according to first part, we can extend the conventional branch-line coupler to the multi-band branch-line coupler at any frequencies. The third part is a coupled-line filter. Using the shunt reactor we can transform the conventional coupled-line filter into multi-band coupled-line filter, and then analysis the operation frequencies by J-inverter. All circuits in this thesis are simulated with full-wave electromagnetic simulator, and these circuits have been fabricated and measured. The matched results between electromagnetic simulation and measurement can demonstrate the availability of all proposed circuits.