An adaptive h-refinement procedure utilizing compatible 5- to 7-node quadrilateral transition elements together with 4-node elements is presented for Reissner Mindlin plate bending problems. By introducing the transition elements which have physical midside nodes, some difficulties associated with imposing displacement constraints on irregular nodes to enforce interelement compatibility in common adaptive h-refinement on quadrilateral mesh are easily overcome. Numerical examples are presented to show the effectiveness of using the transition elements for the adaptive h-refinement.