The primary goal of this research is to study the angle quality control whose general quality characteristics obeys Von Mises distribution , based on the technical standards for angles.  The single angle distribution and the sistribution of moving resultant length were studied by using the statistics for directional data, and the control limits of single value control chart and moving resultant length control chart with or without the given standard values were calculated. The results show that the concentration parameter of Von Mises distribution plays a key role in deciding the control limits.