We studied the new left-handed material cousisting of triangular and three rectangular split resonant rings （SRRs） based on rectangular resonators and metal wires through simulation and experiment. Simulated negative permeability material based on periodic structures of triangular and three rectangular SRRs, we found that two kinds of SRRs can generate negative permeability. We designed new kinds of left-handed materials consisting of two kinds of resonators based on rectangular resonators and copper wires, simulation shows the structures have good left-handed property in some frequency bands. We also fabricated experimental samples in which waves under go negative refraction when the frequency bands are 9.5—13.3GHz and 9.8—12.5GHz respectively. This has important significance on design and study of new periodic structures of left-handed materials.