Hemoglobin corresponds to O2 transportation from lungs to the tissues and exhibits high-spin to low-spin transition by binding of O2 to Fe. In this thesis, we study the electronic and magnetic properties of the deoxy and the oxy forms of the human adult hemoglobin (HbA) to investigate the mechanism of the spin transition. We use an effective multi-orbital Anderson model and the parameters of this model are determined by the density functional theory (DFT) calculations. Then, this model is solved by using a quantum Monte Carlo (QMC) algorithm. The DFT+QMC results show that new electronic states named as the impurity bound states (IBS) exist in both deoxy-HbA and oxy-HbA.We also observe that as the temperature decreases, a magnetic gap is opened at the Fermi level for oxy-HbA. This gap arises from the Fe-O2 charge transfer. We find that both the IBS and the opening of the magnetic gap are responsible for the spin transition in hemoglobin. In addition, the DFT+QMC calculations show that antiferromagnetic (AF) correlations between the Fe(3d) and the surrounding orbitals exist in both deoxy-HbA and oxy-HbA. For deoxy-HbA, the anomalous magnetic circular dichrosim signal in the UV region is experimental evidence for these AF correlations. In the light of these magnetic measurements, we propose some explanations for the Bohr effect and the cooperativity which are the fundemental functional properties of the hemoglobin. The results presented in this thesis show that the magnetic effects play a crucial role in the funtioning of the hemoglobin.