A nonimaging optical design method is proposed based on edge ray principle and ellipse flow-line theory. And a Fresnel reflector for uniform lighting LED tubes is designed through three steps: energy equipartition of LED source, target-source foci map and optimization of optical simulation. The complex relationship among the LED source, reflector and target surface is analyzed, which is helpful to optimization of the design of LED illumination. Results show that the uniform of irradiance on LED tube surface is more than 0.93, and the glare is decreased obviously.