The optical force exerted on a Rayleigh dielectric spherical particle by a photonic jet is investigated in the framework of the Rayleigh approximation. The photonic jet is generated by a plane wave illuminating a Generalized Luneburg Lens (GLLs). The electric field of the photonic jet is calculated using Discrete Dipole Approximation (DDA). The effects of wavelength of incident plane wave, focal length and radius of the GLLs on optical force are analyzed. Numerical results show that the stability of the captured particles can be controlled by changing the incident wavelength, focal length and radius of the GLLs.