The mechanism of eliminating the aerosol haze particles by destroying the force balanced system with laser gradient force is proposed in terms of the force balanced system exerted on the haze particles in the atmosphere, namely, rotary lift force balances gravity, and haze particles are balanced by repulsion between particles and particles. First of all, nonlinear equations about forces exerted on haze particles are obtained according to the Newton's second law, and these main forces (air drag force, van der Waals repulsion, rotary lift force) on the haze particles are solved by integrating these nonlinear equations by the Runge-Kutta method. The facts that the concentrations of particles with diameters in a range from 0.5 m to 0.835 $m increased obviously in the haze particles test on December 17-25, 2013 and February 20-26, 2014 in Xi'an are verified. Secondly, the laser gradient force is analyzed and calculated in the homogeneous medium of haze particles. It is found that the system balanced by the force exerted on haze particles is destroyed completely by laser gradient force, because the magnitude of laser gradient force is always larger than any other forces exerted on haze particles. Therefore, it is feasible to eliminate these haze particles by laser gradient force. It is undoubted that the proposed way of eliminating haze particles is of great significance to establish harmonious surroundings for human.