A model for industrial top-fired dry reforming of methane (DRM) and for combined dry reforming and steam reforming of methane was developed for the first time. The model calculates and gives predictions on the temperature profiles for fuel gas, tube walls, and process gas, as well as the process gas composition profiles over the length of the tubes. Radiative heat transfer is modeled by Hottel Zone method. Material and energy balances are solved numerically using Newton-Raphson solver. Kinetic models for two different DRM catalysts are applied in the model for comparison. Simulation results show that water-gas shift reaction is important in DRM and addition of steam in the feed of process gas is beneficial for industrial production. (c) 2016 American Institute of Chemical Engineers AIChE J, 63: 2060-2071, 2017