Abstract: The relationship between polar gaps problem and three types of gravity gradiometry boundary value problem is discussed from qualitative and quantitative point of view.The simulation result shows that the zonal items of the spherical harmonic analysis solution of vertical-vertical gradiometry boundary value problem in the sphere,the one-order items of the spherical harmonic analysis solution of vertical-horizontal gradiometry boundary value problem and the two-order items of the solution of horizontal-horizontal boundary value problem are influenced mostly by polar gaps problem respectively.