It has been reported that a left-handed waveguide can be constituted using cutoff TE₁₀ mode of rectangular waveguide. Because the cutoff TE₁₀ mode shows effectively negative permittivity, the left-handed mode propagates by adding series capacitance in the form of short- or open-stubs. This paper suggests a constitution method of left-handed waveguides using cutoff TM mode. In this case, the cutoff TM mode shows effectively negative permeability. Therefore, a left-handed waveguide can be constituted by adding parallel inductance. In this paper, two types of the left-handed waveguides are designed using circular TM₀₁ mode and rectangular TM₁₁ mode, and the dispersion characteristics are numerically investigated. The validity of the constituting principle is confirmed by an experiment.