We have developed nanocomposites based on galactitol/adipic acid in the molar ratio of 1:1 with different weight percentages of graphene oxide (GO). The objective of this study was to analyze the effect of enhanced physicochemical properties achieved due to the addition of GO to the polymers on cellular responses. The chemical structures of the polymer and composites were confirmed by Fourier transform infrared spectroscopy. Scanning electron microscopy revealed the uniform distribution of GO in the polymers. Differential scanning calorimetry showed no significant variation in the glass-transition temperature of the nanocomposites. Dynamic mechanical analysis demonstrated the increase of Young's modulus with the increase in the addition of GO to the polymer from 0.5 to 1 wt % and a dramatic decrease in modulus with the addition of 2 wt % GO to the polyester. Contact angle analysis illustrated a slight increase in hydrophilicity with the addition of GO to the polyester. Investigations on the hydrolytic degradation and dye release were performed and revealed that the degradation and release decreased with the increase in the weight percentages of GO but increased for 2 wt % GO with the polymer. The rates of degradation and dye release followed first-order and Higuchi kinetics, respectively. The initial in vitro cytocompatibility studies exhibited minimal toxicity. Mineralization studies proved that these nanocomposites stimulated osteogenesis. This study has salient implications for designing biodegradable polymers for use as scaffolds with tailored release. © 2017 American Chemical Society.