This study explores the dynamic fracture behavior of mooring lines in offshore floating wind turbines under ocean currents using the Finite Particle Method (FPM). Following the Newton’s second law, the FPM models mooring lines as discrete particles connected by massless elements, allowing for the simulation of large deformations and nonlinear behaviors. A fracture model and fracture criteria for mooring lines were established. The study examines the fracture processes under both quasi-static and dynamic ocean current conditions. The results indicate that ocean currents accelerate the fracture process and alter potential fracture locations. Stress distribution and post-fracture motion are significantly different between the two scenarios, emphasizing the need to consider ocean currents in mooring system design. These findings provide valuable insights into the dynamic response and structural integrity of mooring systems, contributing to the safe operation of offshore floating wind turbines in complex marine environments.