In the paper the principle of optical rotation due to the transfer of spin angular momentum from light to particles was discussed by analyzing the interaction between the beam of light and birefringent crystal particles, and then an optical tweezers was formed on nanometer optical tweezers system with a linearly polarized light beam (He-Ne laser 633 nm, 10 mW). A quarter wavelength plate was used to change the polarization of light. The calcite particles (about several μm in diameters) were then trapped by the optical tweezers under different polarization of light. At the same time optical rotation of the particles was realized. The rotation frequency was measured by CCD camera and quadrant photodiode detector (QD). The dependence of the rotation frequency of the trapped particle on the laser-power was analyzed and experimentally studied for several calcite crystallites with different sizes in the optical tweezers. The effects of several particle parameters such as thickness, radius, and orientation of its optic axis etc. were also discussed.