A general design method of Fresnel lens is proposed, which can be applied to LED light sources of general Lambert distribution, and the focusing and uniform light illuminance are realized simultaneously. The proposed method overcomes the imperfect focusing and uniform light illuminance optical effects of traditional lens. And the obtained Fresnel lens has the advantages of high focusing rate, thin thickness, large numerical aperture, and high efficiency of light extraction, which is beneficial to improving the lighting quality of LED sources. The lens is especially suitable for LED sources of large emission angle. Based on the theoretical design, 3D modeling of the lens and simulation are carried out by professional software, and the results verifies the validity and reliability of the proposed method.