Magnesium alloys are amongst the lightest structural metals available, but their low formability at room temperature is limiting their use in the automotive industry. An increase in temperature activates more slip systems and improves their formability, so forming sheets into complex shapes becomes possible with warm forming processes. The anisotropic behaviour of magnesium sheets is complex to model. Moreover, the mechanical properties of magnesium alloys vary greatly with temperature and strain rate, and this need to be considered in the material model. In order to establish the correlation between mechanical properties of the alloy, temperature and strain rate, an energy-based material model using an Arrhenius-type relation is proposed. The model is incorporated into Taylor-type crystal plasticity framework. This model is used as a predictive tool to obtain the stress-strain response and the texture evolution for E-form Mg alloy at different strain rates and temperatures. The predictive capability is shown by comparing the experimental and simulated data.