Summary: The intention of this paper is consecrated to make known a mathematical model of magnetic response of a two layered earth model with a positively skewed bulge conductivity. The conductivity of ground is a function of depth. Integral expressions are applied, and the Taylor-series expansion and approximation are employed to discover the solution of the homogeneous differential equation. Numerical solutions are computed to present the conduct of the magnetic field graphically. The responses of magnetic field show some significance happened as a result of the depth and a positively skewed bulge conductivity ground profile.