Abstract: By solving the time-dependent Schr dinger equation (TDSE) in the non-Born Oppenheimer approximation,the influence of laser intensity on the electron localization was investigated in the dissociation of hydrogen molecular ion (H₂⁺)driven by the strong field. The results reveal the degree of electron localization depends on the laser intensity strongly. The degree of electron localization increases first and then decreases with the increase of laser intensity. By studying the time-dependent evolution of the nuclear and electronic wave packets respectively, it is known that the dissociation probability plays an important role in the process. Furthermore, it is found that the location of the electron can be controlled efficiently by the laser field with the intensity ranged from 4×10¹⁴ to 1×10¹⁵ W/cm².