Using Bogoliubov-de Gennes equations，we study the quasiparticle transport in quantum-wire/insulator/p wave superconductor junction (q/I/p). In the framework of the Blonder-Tinkham-Klapwijk model，we calculate the tunneling conductance in q/I/p as a function of the bias voltage at zero temperature and finite temperature. Differently from the case in quantum-wire/insulator/d wave superconductor junctions，there are zero-bias conductance peaks in the single-mode case. With the barrier strength becoming strong，the zero-bias conductance is gradually enhanced.