This paper presents a funnel exteal potential model to investigate dynamic properties of ultracold Bose gas.By using variational method,we obtain the ground-state energy and density properties of ultracold Bose atoms.The results show that the ultracold Bose gas confined in a funnel potential experiences the transition from three-dimensional regime to quasi-one-dimensional regime in a small aspect ratio,and undergoes fermionization process as the aspect ratio increases.