Abstract: The study on suppression of "Locking" divergence, andthe progress achieved in developing high performance schemes, are an　important aspect in the last ten years' research & development on the　finite element methods. The so called finiteelement method of high performance is a particular lower-orderdisplacement scheme that offers the following theoretical andcomputational advantages: 1 Approximately preserving all mathematical　and physical characteristics of the original problem; 2 As a result, it　is robust and highly efficient for the applications to based on　engineering numerical simulations. From this view, two kinds of　locking-free methods, developed in computational structure mechanics　and CFD, are reviewed in the paper.