In this paper, authors introduce the realization of self -adapt of laser cutting parameters when researching on laser intelligent processing. The corner part of work piece can be searched from work piece CAD model in computer, then the dynamic relationship between cutting speed and laser power can be obtained by experimental research. When actual cutting corner part of work piece, the laser power will change depending on cutting speed to avoid the overheat at this position.The satisfying cutting result shows the intelligent laser cutting.