Using the method of transfer matrix,the reflection band characteristi cs of one dimension (1D) photonic crystal (PC) structure composed of left-handed material s (LHMs) is analyzed.The simulation results show that the reflection band of the 1D PC structure with LHMs is not sensitive to the incident angle,and this kind of reflection band usually is called as “omnidirectional reflection band (ODB)”.However,the reflection ba nd of the PC crystal structure composed of the right-handed materials (RHMs) is very sensitive to inciden t angle,and we named this kind of reflection band as “partial angle reflection band”.Further study reve als that the omnidirectional reflection band of PC structure with LHMs is not sensitive to the change of period N.But as the thickness ratio k increasing,the position of the omnidirectional reflection band will move to the high frequency direction.Moreo ver,as the lattice constant h decreasing,the position of omnidirectional re flection band will move to the low frequency direction.Based on this,we design an omnidirectional reflector comp osed of LHMs.The reflector band is between 3.1GHz and 3.9GHz,and its reflectance is up to 100%.The design results can be used to design omnidirectional reflector with LHMs in arbitrary microwave band.