The thermodynamic characteristics, such as temperature and pressure evolutions, of hydrogen storage systems are important to evaluate and optimize their performance. The thermodynamic models of hydrogen storage systems based on mass and energy balance equations can be expressed simply as lumped parameter or zero-dimensional models. Based on the authors' previous work on the charge discharge cycle thermodynamics for gaseous hydrogen storage system, this article deals with an adsorption desorption cycle thermodynamics for adsorptive hydrogen storage system, in which the reservoir is packed with porous adsorptive particles. For simplicity, the hydrogen adsorption amount is assumed proportional with the amount of gaseous hydrogen. Thus, the temperature and the pressure can be solved analytically and therefore can be used for validating the numerical models, e.g. Matlab/Simulink model, theoretically. The thermodynamic models described in this article are useful for developing more detailed multi-dimensional models or more general system level models. The examples given in this article may be served as benchmarks for system level simulations or computational fluid dynamics (CFD) simulations. Copyright (C) 2015, Hydrogen Energy Publications, LLC. Published by Elsevier Ltd. All rights reserved.