Some damages of piles can be unavoidably caused by natural disasters and extreme constructions. Usually, piles can be cut into two parts by shocks such as earthquakes, that is fracture piles. Obviously, the dynamic behavior of a single fracture pile is different from that of normal piles. But the problems of inspection, appraisal, repairs and maintenance of piles will face us. By studying dynamic behavior of a single fracture pile of vertical oscillation, the paper introduces a dynamic model of the fracture pile. The model is not perhaps perfect, but it is a method to begin to study the vibration of the fracture pile. The individual example does not detail the dynamic characteristics of the fracture pile, but the tendency of the curve of the dynamic impedance versus frequency can give a mainly rule.