Dynamic processes of neon gas-puff Z-pinch are studied numerically in this paper.A high temperature plasma with a high density can be generated in the process.Based on some physical analysis and assumption,a set of equations of one-dimensional Lagrangian radiation magneto-hydrodynamic (MHD) and its code are developed to solve the problem.Spatio-temporal distributions of plasma parameters in the processes are obtained,and their dynamic variations show that the major results are self-consistent.The duration for the plasma pinched to centre,as well as the width and the total energy of the x-ray pulse caused by the Z-pinch are in reasonable agreement with experimental results of GAMBLE-Ⅱ.A zipping effect is also clearly shown in the simulation.