Blasting vibration can induce some adverse influence on grouted rockbolt. The stress wave theory and wave function expansion method are adopted to analyze the interaction between stress wave and rockbolt. The distribution of stress and peak particle velocity around grout under the blasting vibration is derived; influences of stress wave in different frequencies on grouted rockbolt are compared; the safe peak particle velocity range in the grouted rockbolt is derived with stress waves of different frequencies. The result shows that the higher the frequency of incident wave is

the bigger the safe peak vibration velocity for grouted rockbolt is.