Based on the equivalence principle and the reciprocity theorem, the composite electromagnetic scattering from two adjacent finite length cylinders is considered and a solution that accounts for multiple scattering up to second-order is deduced. Numerical results obtained by our formulas are compared with the results obtained by the method of moments. Meanwhile, the dependence of the composite scattered field on the parameters, such as the distance between the cylinders, the length of the cylinders, polarization state and so on, is discussed.