Hemispherical shell resonator is the key component of micro-hemispherical resonator gyroscope（micro-HRG）.The resonator’s characteristics are analyzed by the method of FEM

a method to calculate its stiffness and quality matrix is obtained

and the natural frequency is calculated with the software Mathematica

at the same time

the relation of every vibration shape and the natural frequency of the above resonator with Hemispherical shell’s radius

thickness and fixed angle is analyzed with the software ANSYS.On the basis of the analyses

the proper suggestions for structure design of hemispherical shell resonator are made.