The methanol-steam reforming reaction has partly its significance in a way of hydrogen production. In this paper, a set of strictly rigorous two dimensional dynamic models for a non-isothermal methanol-steam reformer system was established and these equations were then solved using the numerical method of lines under a given experimental condition. The finite difference approximation method was separately applied to the radial and axial direction to satisfy the criteria of corresponding numerical stability and accuracy. Mainly studied were the steady-state profiles inside the reactor with the variations of the reactor wall temperature, the feed temperature, the feed flow rate and the methanol concentration it the feed. Also, the transient behaviors from the reactor start-up were investigated to identify the dynamic characteristics. The cumulation results showed that the controling of the wall temperature and the feed rate accounted for the overall reaction yield.