Based on theoretical analysis, in this paper studied are the low pass and band stop filter effects of the μ-negative materials/double positive materials/μ-negative materials (MNG-DPS-MNG) surface plasmon polaritons waveguide with branch defect. The research results show that the defect is equivalent to a sub wavelength resonator. The central frequency of the band stop filter is determined by the resonator length and it is independent of the position where the resonator is located in the MNG region. The transmission dips of the waveguide are closely related to the coupling distance. So the filter characteristics of the surface plasmon polariton waveguide can be adjusted by changing the resonator length and number and the coupling distance. The experimental results are in good agreement with simulation results. These properties will have potential application value in the tunable single channel or multi-channel band stop filters.