We present a theoretical study of electronic states and  magnetization of two interacting electrons confined in a coupled double quantum dot presented in a magnetic field. The calculation scheme consists of two steps. First step , we obtain the eigenenergies of the DQD  by solving the relative Hamiltonian using variational and exact diagonalization  methods. Next step, we calculate the dependence of the magnetization on temperature, magnetic field strength , confining frequency and barrier height . The singlet- triplet transitions in the ground state of the quantum dot spectra and the corresponding jumps in the magnetization curves have been shown. The comparisons show that our results are in very good agreement with reported works.