The magnetic susceptibility of two interacting electrons confined in a coupled double quantum dot presented in a magnetic field is calculated by solving the relative Hamiltonian using the combined variational and exact diagonalization methods. We have investigated the dependence of the magnetic susceptibility 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 magnetic susceptibility curves have been shown. The comparisons show that our results are in very good agreement with reported works.