Each subunit of human hemoglobin (HbA) stores an oxygen molecule (O2) in the binding site (BS) cavity near the heme group. The BS is buried in the interior of the subunit so that there is a debate over the O2 entry pathways from solvent to the BS; histidine gate or multiple pathways. To elucidate the O2 entry pathways, we executed ensemble molecular dynamics (MD) simulations of T-state tetramer HbA in high concentration O2 solvent to simulate spontaneous O2 entry from solvent into the BS. By analyzing 128 independent 8 ns MD trajectories by intrinsic pathway identification by clustering (IPIC) method, we found 141 and 425 O2 entry events into the BS of the α and β subunits, respectively. In both subunits, we found that multiple O2 entry pathways through inside cavities play a significant role for O2 entry process of HbA. The rate constants of O2 entry estimated from the MD trajectories correspond to the experimentally observed values. In addition, by analyzing monomer myoglobin, we verified that the high O2 concentration condition can reproduce the ratios of each multiple pathway in the one-tenth lower O2 concentration condition. These indicate the validity of the multiple pathways obtained in our MD simulations.