For the problem of freeform surface measurement point layout, the adaptive distribution of measurement points using curvature adaptive shape features was used. The mathematical model of the freeform surface was analyzed to provide mathematical foundation for parametric modeling of freeform surfaces. The adaptive shape feature method was studied, and the sampling algorithm of the surface shape function was used to distribute the measurement points adaptively. A surface was designed to arrange the actual measurement points, the adaptive measurement points distribution was obtained, and the measurement data were verified by CMM.