Studies by Wilder et al. of the binding of Fab' fragments to small haptens have shown that the cross-linking constant (the equilibrium constant for binding an additional Fab' fragment to a hapten-Fab' complex) is strongly dependent on the length of the hapten. We present a simple model for predicting the relationship between the intermolecular cross-linking constant and the monovalent hapten-antibody binding constant. In particular we used the model to obtain the dependence of the cross-linking constant on the length of th hapten, the depth to which the hapten fills th Fab' binding site, and the size of the Fab' fragment. To test the model, we devised expressions which allowed us to analyze the data of Wilder et al. From their data we determined the values of two parameters which we took to be unknown in the theory, the size of the Fab' fragment and the depth to which the hapten fills the Fab' binding site. The values arrived at in this way agreed well with published measurements of these parameters.