Reissner-Mindlin plate model is one of the most commonly used models of a moderately thick to thin plate. However, a direct and seemingly reasonable finite element discretization usually yields very poor results which is referred to LOCKING phenomenon. In the past two decades, many efforts have been devoted to the desigh of locking free finite elements to resolve this model, most of these work focus on triangular and rectangular elements, the latter may be extended to parallelograms, but very few on quadrilaterals. In this talk we will give an overview of the recent development of low order quadrilateral elements and present our new results.