Analytical solution of eddy current testing problem is constructed in the present paper. The source of alternating current is a double conductor line consisting of two infinitely long parallel wires. The double conductor line is located above a conducting multilayer medium. It is assumed that the electrical conductivity and magnetic permeability of each conducting layer are exponential functions of the vertical coordinate. The solution is obtained by means of the Fourier sine and cosine integral transforms. The system of ordinary differential equations in the transformed space is solved analytically using modified Bessel functions of complex argument.