This paper presents a practical freeform-surface design and construction method, and this method has a simple geometric derivative and construction process that it can be used for non-imaging optical design for LED lighting to achieve a compact and efficient luminaire. In addition to the detailed introduction of the freeform-surface design and construction method, this article also cited two design examples, one for a TIR (total-internal-reflection) LED collimating lens, and the other for LED uniform-illumination lens. The actual optical simulation results show that the presented geometrical optics algorithm and the freeform-surface construction method can really be applied to design and construct LED freeform-surface lenses to meet the lighting requirements.