We measure the Bose-Einstein correlations (BEC) in pi0 pairs produced in hadronic Z decays. We use the full hadronic event sample collected at centre-of-mass energies at and near the Z peak by the OPAL detector from 1991 to 1995. This corresponds to about 4 million hadronic Z decays. The pi0 mesons are reconstructed using their two-photon decay mode. The comparison of the BEC strength between pi0 pairs and charged pion pairs allows a direct test of parton fragmentation and hadronisation models. The string model predicts stronger BEC effect in pi0 pairs than in charged pion pairs while other models predict equal strength.