Translational repression of hunchback (hb) mRNA in the posterior of the Drosophila embryo requires two copies of a bipartite sequence, the Nanos Response Element (NRE), located in the 3' untranslated region of the mRNA. The PUMILIO (PUM) protein is thought to bind the NREs and thereby repress hb translation. The RNA-binding domain of PUM defines an evolutionarily conserved family of RNA-binding proteins, the PUM-Homology Domain (PUM-HD) proteins, which have been identified in yeast, plants, and animals. The PUM RNA-binding domain, the Drosophila PUM-HD (DmPUM-HD), has been shown previously to recognize nucleotides in both the 5' and 3' halves of the NRE, suggesting that a dimer of PUM might recognize one NRE. Here, we analyze the RNA-binding affinity and stoichiometry of the DmPUM-HD and find that one DmPUM-HD monomer binds independently and with equal affinity to each NRE (KD approximately 0.5 nM). We detect no cooperative interactions between DmPUM-HD monomers bound at adjacent sites. Our results imply that a single DmPUM-HD protein recognizes nucleotides in both the 5' and 3' NRE half-sites. Based on our estimate of the intraembryonic concentration of PUM (>40 nM), we propose that in vivo nearly all NREs are occupied by a PUM monomer.