With wind energy being more and more popular, the study of crack propagation in wind turbine tower is of great significance and necessity for the safety of the whole floating wind turbine. Peridynamics is a non-local theory and does not rely on the continuum assumption, making it suitable for failure analysis since no extra failure criteria are required. In this paper, a peridynamic model is constructed to represent a section of the IEA 15 MW wind turbine tower. The geometry varying of the diameter along the tower height direction is considered in the model while the thickness keeps same. The deformations of the tower under axial force predicted by the peridynamic model and ABAQUS simulation are compared to validate the developed model. Subsequently, the peridynamic model is employed to simulate and analyze the crack growth behavior with two pre-existing cracks located in the middle of the tower section. The crack is observed to initiate growth and propagate along the cylindrical circumference direction over time, which may lead to the potential safety hazard of the tower.