Analysis of a cyclic fixed bed sorption process based on second-order irreversible kinetics is undertaken. Cyclic steady-state solutions are obtained in closed form for both cocurrent and countercurrent regeneration. By converting two integral equations to two simultaneous differential equations, the solutions can also be evaluated numerically. In two special cases explicit analytic solutions are also derived. The performance of the cyclic process is evaluated based on sorption effectiveness and is shown to be dependent on four cyclic design parameters. Calculated results indicate that cyclic sorption effectiveness is independent of the direction of regeneration.