In this thesis, we use Classical Trajectory Monte Carlo method to study the atomic dynamics under short intense pulse and magnetic effect. When an atom is exposed to an intensity laser pulse, it develops a time-dependent dipole moment and radiates a series of odd harmonics of incident laser frequency. This phenomenon of harmonic generation has been observed over wide ranges of laser intensity (e.g.10**13~10**16 w/cm**2 ). However, current laser systems can produce very short (femtoseconds) and high intensity pulses stronger than 10**17w/cm*2*2 Under such high-intensity and short time laser, the dynamics of atom and the effect of the magnetic filed component are important, and not yet well studied.