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the dynamic response at multi-points on the shaft of a defective pile under low strain loading condition is investigated theoretically. Three-dimensional axisymmetric continuum soil model is established to simulate the layered pile-soil system considering different types of pile defect. Theoretical solutions are deduced by applying the separate variable method and integral transformation technique. A parametric study is conducted to evaluate the characteristics of the incident velocity wave at multi-points along the pile shaft. Application of dynamic response at multi-points along the shaft of a defective pile in novel pile integrity testing method is discussed afterwards. The results obtained facilitate a new approach for pile integrity testing and provide insights on the dynamic load transform mechanism of the pile foundation under vertical dynamic loads. • Dynamic response at multi-points along a defective pile shaft is analyzed. •Incident wave characteristics at multi-points are evaluated. •A new pile integrity testing method is proposed. •Time-depth and peak value-depth relationships can be used for pile integrity test. •Peak value-depth relationship gives insight on the dynamic load transform mechanism of the pile foundation. [ABSTRACT FROM AUTHOR]