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.