The paper deals with the experimental testing and the theoretical analysis of damaged and undamaged CFRP/GFRP with rectangular notches under free vibration. The reason to vary their composition is to study their nature under various loading conditions. The experimental apparatus used conducts dynamic test uses accelerometers to detect the frequency of vibration when excited manually using a hammer. Damages in the laminates under study are due to the rectangular notches created in the laminates at varying distances along the transverse axis of the beam. This will help us to study its influence on the material and geometrical property of the hybrid material of varying compositions. A theoretical model and a FEM model to be designed for validation with the necessary assumptions. The values of frequencies obtained through theoretical methods are compared and validated with the results obtained from the experimental and the FEM models. Frequency values is decreased by 32% and 27% for cantilever and hinged specimens for tested laminates of CFRP (75%)/GFRP(25%) that of CFRP(50%)/GFRP(50%).The differences between theoretical and experimental frequency values for the first the difference in percent between the values of the frequency approximately 2.7% on average for D4:CFRP (75%)/GFRP(25%). © IAEME Publication.