A finite element formulation based on a first-order shear deformation theory is used to study the free vibration response of variable stiffness composite laminated (VSCL) plates with delamination. The fibre orientation in the VSCL is varied along the length of the plate and the fibre path is defined by two angles at the centre and edge of the panel. The finite element dynamic equations are obtained using eight-noded iso-parametric elements. The point continuity method is used here to satisfy the continuity conditions at the delamination front. The present results are compared for constant stiffness composite laminated (CSCL) plates available in the literature. Furthermore, a comparison is made for constant stiffness composite plates and variable stiffness composite plates having delamination. The effect of change in delamination size and position on the natural frequency is investigated for the first time using variable stiffness composite plate.