An idea that Rayleigh particles can be captured by replacing the geometry optical lens in the traditional optical tweezers with nano-lens is proposed. We calculate the diffraction field of a plane wave passed through the nano-lens by using the finite difference time domain (FDTD) method and the radiation force acted on the Rayleigh particles in the field based on the point dipole approximation method. The results show that, comparing to best results (focal spot close to the diffraction limit) of conventional optical tweezers, the trapping efficiency, stable trapping zone length and quality factor of the proposed tweezers can be greatly improved. Especially for the two capture zones on the both sides of nano-lens, the trapping efficiency and quality factor can be improved by 2 to 3 orders of magnitude, and also the force of trapped particles has a strong polarization dependence (unlike conventional optical tweezers), which can be used to achieve rotation operation of particles.