The one-dimensional (1D) rod model, which is used in several pile dynamics applications, has two main simplifying assumptions: only vertical reaction is considered and excitation on the pile top is treated as uniform. These two simplifications negatively affect its application in pile integrity tests, especially for large-diameter piles. To overcome these two limitations, a new non-uniform axisymmetric loading (NAL) theoretical model that considers bidirectional (vertical and radial) reactions of the pile body and the non-uniformity of the excitation on the pile top is proposed. Based on the developed model, displacement and velocity fields of an end-bearing pile embedded in homogeneous soil under non-uniform impact are solved theoretically. Analytical solutions are then verified by existing solutions and finite element results. Compared with 1D rod pile model, the NAL model can predict accurately the three-dimensional (3D) effect in the pile integrity test. Extensive parametric analysis is conducted using the present solutions to evaluate the 3D effect in the pile integrity test and provide practical suggestions to diminish the 3D effect in the actual test.