A novel algorithm based on the Newton projection scheme [l] is proposed to improve the convergence behavior of circuit simulation. The computation experiment shows that the number of iterations to achieve convergence in Newton-Raphson method can be cut by as much as twenty nine-fold, and the convergence behavior of the Newton iteration is made much more robust using this algorithm, Moreover, the implementation of the proposed algorithm in conventtiional circuit simulators such as SPICE is very easily done. Both the theoretical background and actual implementation of the algorithm are discussed. The experimental circuit and simulation results are also shown.Newton iteration. This method can lead to a significant cut of the number of iterations and a robust convergence behavior for the Newton-Raphson method, The preliminary computation experime:nt on several circuit3 shows that the number of iteration is reduced by a factor of eight to twenty nine.In section II, the theoretical background for our algorithm, called the Newton Projection Method, or NPM, is presented. An implementation of the method in conventional circuit simulators is then illustrated in the subsequent section with SPICE as an example. The experimental circuit and computation results are shown and discussed in Section IV, Finally, the conclusions are drawn.