小角度照明一直是发光二极管(LED)走向通用照明需要亟待解决的问题。而透镜和反射器则是最常用的配光器件，所以针对LED使用的透镜或反射器的设计是目前照明领域研究的热点。采用几何光学理论计算透镜表面的点坐标，拟合形成表面，旋转拉伸成透镜实体。并以能够实现30o和45o照明的透镜为例，介绍了透镜的设计过程，并对透镜的性能进行了模拟验证分析。结果显示：这种透镜能够将光源的光汇聚到预先指定的角度内，光能的利用率达到80%以上，照度的均匀度达到了85%以上，这能够很好地满足现代照明的需要。“,”The small angle lighting is always a thorny problem in the LED lighting field. The LED lenses and reflectors were important optical devices, which was the key to solve the above problem. So the design of lens and reflectors has been a hot research topic recently. The theory of geometrical optics was used to calculate the coordinates on the lens surface in this paper. Then, the lens model can be constructed based on the coordinates. In order to facilitate understanding, the 30oand 45o lighting lens were taken as examples to introduce the design process. The research findings show that these lenses can concentrate light rays within the predetermined small angles. Furthermore, the efficiency and uniformity are more than 80% and 85% respectively, which can meet the needs of the modern lighting.