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The algebraic structure and Poisson’s integral theory of mechanico-electrical systems are studied.The Hamilton canonical equations and generalized Hamilton canonical equations and their the contravariant algebraic forms for mechanico-electrical systems are obtained.The Lie algebraic structure and the Poisson’s integral theory of Lagrange mechanico-electrical systems are derived.The Lie algebraic structure admitted and Poisson’s integral theory of the Lagrange-Maxwell mechanico-electrical systems are presented.Two examples are presented to illustrate these results.