The DEM (Discrete Element Method) can simulate target wear due to erosion by impacts of a number of particles. Predicting worn morphology of target by single-particle erosion is the basis of that by multiple-particle erosion. However, the current DEM prediction models for single-particle erosion are aimed at total volume loss rather than worn morphology of target. A DEM-based model for predicting crater-shaped morphology of target by single-particle erosion has been developed depending on energy conversion and geometric reconstruction. In our model, target is represented by a shell element in contact detection, while is taken as a statistically isotropic rough surface covered with deformable asperities in contact force calculation. Then, a modified contact stiffness formula is presented for addressing the elastic-plastic contact characteristic of the two contact objects during erosion. In prediction, volume losses of target due to deformation damage and cutting removal are separately measured based on normal and tangential collision energies using DEM, and the crater-shaped morphology is predicted via geometric reconstruction. Through numerical tests, our model has been verified to be an effective model for predicting the crater-shaped morphology of target by single-particle erosion in response to different impingement angles and at least two different target materials.