Propagation properties of the TE mode for three slabs waveguide with left-handed materials (LHM) as core layer were studied. The results indicate that guided and surface waves can both propagate in the waveguide system. There is no TE0 mode for guided waves. There are TE0 or TE1 mode for surface waves only. It is found that two guided wave modes with the same mode number can coexist in the waveguide with special structure parameters. The influence of structure parameter on the properties is analyzed.