In this paper is suggested the general method for solving the magnetic circuit however complicate of negligible leakage flux, which was unsolved before. The general method makes direct use of the n Kirchhoff's equations of the network with n branches, and is essentially an ingenious combination of the diagrammatical method with the "cut-and-try" method, the latter being so schemed as to yield the correct results quickly with some auxilliary curve plottings. The article deals with the theorems and procedure of solution of the network in detail.As the non-linear element in an electric circuit is analogous to a branch of the magnetic circuit, the general method suggested can bs adopted equally well to solve the complicated non-linear electric circuit containing any number of non-linear elements, which can be hardly solved by any other known method even with the aid of Thevenin theorem and other theorems of transformation of electric networks.