An experiment was performed to investigate the onset of turbulence in a flat plate boundary layer. The correlation dimension was calculated from the experimental data by means of chaos dynamics and the existence of the strange attractor was shown in the transitional processes. Therefore, the transitional processes to turbulence have been classified by not only the instability theory but also the nonlinear chaotic analysis. The relationship between the correlation dimension and the streamwise positions implies a natural connection between chaos dynamics and the onset of turbulence in a plate boundary layer, so transition is linked to the chaotic motion.