The prefrontal cortex (PFC) and nucleus accumbens (NAc) are implicated in various aspects of social behavior such as initiating, maintaining, or avoiding social interaction. C57BL/6J mice, CD1 mice and Sprague Dawley (SD) rats are amongst the most commonly used animal models for studying these behaviors. It was previously established that these strains of mice and rats differ in their social motivation during interaction with a sex-matched conspecific. We aim to find neural correlates to these differences using chronically implanted multi-electrode arrays targeting various nuclei of PFC and NAc. We recorded LFP signals from behaving animals during social stimulus vs object discrimination task. SD rats showed maximum preference to the social stimulus (a sex-matched conspecific), followed by CD1 mice, and C57BL/J6 mice. Rats also transitioned the least between two stimuli throughout the session. Correlates to these behavioral differences were seen in the LFP rhythmicity. SD rats exhibited maximum increase in both theta and gamma power in PFC and NAc during interaction with social stimulus. Theta and gamma coherence between several brain pairs, specifically between NAc core and shell, was the highest in rats as compared to both strains of mice. Moreover, a gradual change in gamma oscillations recorded in NAc core and shell was observed in rats, but not in mice. These results suggest that the variations in social motivation drive exhibited by these strains re reflected by differences in LFP rhythmicity recorded in brain regions associated with social reward.