In　this　paper,a　model　predictive　control(MPC)framework　is　proposed　for　finite-time　stabilization　of　linear　and　nonlinear　discrete-time　systems　subject　to　state　and　control　con-straints.The　proposed　MPC　framework　guarantees　the　finite-time　convergence　property　by　assigning　the　control　horizon　equal　to　the　dimension　of　the　overall　system,and　only　penalizing　the　terminal　cost　in　the　optimization,where　the　stage　costs　are　not　penalized　explicitly.A　terminal　inequality　constraint　is　added　to　guarantee　the　feasibility　and　stability　of　the　closed-loop　system.Initial　feasibility　can　be　improved　via　augmentation.The　finite-time　convergence　of　the　proposed　MPC　is　proved　theoretically,and　is　supported　by　simulation　examples.