A complete reactive groundwater transport model must account for both chemical and transport processes. For the chemical processes one has to decide whether to formulate them kinetically or to assume a local chemical equilibrium state. This decision in the chemical model part determines the mathematical structure of the overall model. In a kinetic formulation, the linear partial differential equations of the transport have to be coupled with a nonlinear system of ordinary differential equations describing the kinetic development, whereas in an equilibrium formulation, the equations of the transport are coupled to a nonlinear system of algebraic equations describing the equilibrium state. Basically, two kinds of methods for solving reactive transport systems may be distinguished, namely, one-step methods which simultaneously solve the transport and the chemical model parts and the two-step methods which solve these model parts separately. We here present a sequential two-step method for kinetic transport models and an iterative two-step method for equilibrium transport models. We conduct a timescale analysis to check whether the error of the sequential two-step method is tolerable and whether a given kinetic transport system can be reduced to an equilibrium one. The numerical methods and the timescale analysis are applied to two test cases. Zysset et al. (1994) present a further application of the kinetic transport model to laboratory column experiments governed by biodegradation. ¿ American Geophysical Union 1994