The binding energies of a two-dimensional (2D) biexciton have been cal
culated variationally for all values of the effective electron-to-hole
mass ratio a by using a three-parameter wave function. The ratio of t
he binding energy of a 2D biexciton to that of a 2D exciton is found t
o be from 0.582 to 0.220. The results agree fairly well with previous
experimental results. The results of this approach are compared with t
hose of earlier theories.