There is growing evidence for consistent among-individual variation in individual sociability (e.g., tendency to be sociable) in a number of species. However, sexes often differ in their social behaviors, as well as the selection pressures which they experience. This may translate into differences in repeatability of sociability, although this has not yet been tested. Here, we investigated whether eastern water dragons (Intellegama leseurii) exhibited evidence of consistent among-individual variation (i.e., repeatability) in 4 different measurements of sociability. Specifically, we measured sociability in 4 ways (degree, centrality, proportion of time spent being social, and number of preferences), and tested whether there was evidence for sex differences in the repeatability of these sociability measurements, or whether observed levels of repeatability could be explained by a stable social environment. Our findings provide new evidence for sex differences in social personality: we found that males were significantly repeatable in 3 of 4 sociability measurements (degree, centrality, and proportion of time spent being social), whereas females were not. Further, we found that these differences were not a result of differences in the dynamics of the social environment. We discuss our findings in the context of sexual selection, as well as sex differences in the evolutionary drivers of social behavior.