谢尔宾斯基三角形（英语：Sierpinski triangle）是一种分形，由波兰数学家谢尔宾斯基在1915年提出。它是自相似集的例子。

它的豪斯多夫维是。

取一个正方形或其他形状开始，用类似的方法构作，形状也会和谢尔宾斯基三角形相近：

用随机的方法（Chaos Game），都可得到谢尔宾斯基三角形：

下图展示了曲线如何逼近谢尔宾斯基三角形。

这条曲线以L系统来记述为：

The Sierpinski triangle (also with the original orthography Sierpiński), also called the Sierpinski gasket or the Sierpinski Sieve, is a fractal and attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. Originally constructed as a curve, this is one of the basic examples of self-similar sets, i.e., it is a mathematically generated pattern that can be reproducible at any magnification or reduction. It is named after the Polish mathematician Wacław Sierpiński but appeared as a decorative pattern many centuries prior to the work of Sierpiński.