The hyperfine group method is considered as the most accurate resonance self-shielding method, but it suffers some limitations in the practical calculation due to its long computation time. In order to make it practical to use the hyperfine group method in large scale geometry problems, a cross section interpolation method is proposed in the frame of the newly developed global-local self-shielding method. In this paper, a series of typical 1-D pin cells are established by varying the Dancoff correction factor, burnup depth and fuel temperature. The hyperfine group method is just performed to these typical pin cells, and the cross sections of the realistic pin cells are obtained by interpolating according to the real values of these parameters. By this method, the times of the hyperfine group method needed to be performed is greatly reduced. This method has a very high accuracy in practical assembly and whole-core physics calculation.