PACS 71. 78.55.Hx, 78.67.Hc Photoluminescence (PL) spectra of excitons and biexcitons confined in CuCl quantum dots have been measured under two-photon resonant excitation of the biexcitons in order to examine size-selective excitation of the biexcitons. Although the PL energy of the biexciton does not exhibit an obvious dependence on the excitation photon energy, the PL energy of the exciton clearly reveals the size of the quantum dots in which the biexcitons are generated under the two-photon resonant excitation. As a result, the possibility of the size-selective excitation of the biexcitons was confirmed.