In this paper, an investigation with the application of Monte Carlo simulations to steadystate electron transport and low-field electron mobility characteristics of in bulk ZnO in the wurtzite crystal structure and its alloy Zn1-xMgxO with different doping of Mg, x=0.05, 0.1 and 0.2. The Monte Carlo calculations are carried out using a three-valley model for the systems under consideration. The following scattering mechanisms, i.e, impurity, polar optical phonon and acoustic phonon are included in the calculation. The maximum electron drift velocity that is obtained at room temperature for 1023 m-3 donor concentration is 1.97Ã—107 cms-1 for ZnO in threshold field of 400 kV/cm. While the maximum electron drift velocity is 1.62Ã—107 cms-1, 1.03Ã—107 cms-1 and 0.43Ã—10 7 cms-1 for Zn0.95Mg0.05O, Zn0.9Mg0.1O and Zn0.8Mg0.2O in threshold field 700 kV/cm respectively. It can be seen the peak drift velocity for bulk ZnO is 1.97Ã—107cms-1, while for Zn1_xMgxO the peak drift velocity decreases due to increasing electron effective mass.