Biexcitons in fractional dimensional spaces are studied using variational quantum Monte Carlo. We investigate the biexciton binding energy as a function of the electron-hole mass fraction σ as well as study the dimensional dependence of biexcitons for σ = 0 and σ = 1. As our first application of this model we treat the H 2 molecule in two and three dimensions. Next we investigate biexcitons in carbon nanotubes within the fractional dimensional model. To this end we find a relation between the nanotube radius and the effective dimension. The results of both applications are compared with results obtained using different models and we find a reasonable agreement. Within the fractional dimensional model we find that the biexciton binding energy in carbon nanotubes accurately scales as E B (r,ε) = 1280 meV Å/(rε), as a function of radius r and the dielectric screening ε.