Graduate School of Mathematical Sciences, The University of Tokyo, Tokyo 153-8914, JapanE-mail {oikawa, kikuchi} ms.u-tokyo.ac.jpReceived September 25, 2009, Accepted March 28, 2010AbstractRecently, the discontinuous Galerkin FEM’s (DGFEM) are widely studied. They use discontin-uous approximate functions, where the discontinuity is dealt with by the Lagrange multiplierand/or interior penalty techniques. Such methods has a merit that various types of approxi-mate functions can be used besides the usual continuous piecewise polynomials, although theband-widths of arising matrices are often much larger than the conventional ones. We herepropose a hybrid displacement type DGFEM for the 2D Poisson equation with some mathe-matical and numerical results. In particular, we can use element matrices and vectors similarto those in the classical FEM.Keywords Discontinuous Galerkin FEM, hybrid method, stabilization, error analysisResearch Activity Group Scientific Computation and Numerical Analysis