Abstract: Using volume integral equation method to calculate 3-D body concurrent responses of induced polarization and electromagnetic in homogeneous half-space.The calculation of tensor Green's functions is discussed.We adopted difference approximate method for the charge primary part of tensor Green's functions.This method not only can ensure the calculation accuracy but is more convenient for computation as well.Secondly,using the algorithm of secondary division solved singular problem in calculation of tensor Green's functions.Using the Gaussian quadrature and continued fraction calculates the integral with Bessel function. The modeling results are compared with foreign works,all results prove that the procedure is correct.And results are analyzed in different parameter of complex resistivity.