Oceanic eddies and fronts are plentiful in the global oceans. There are abundant frontal processes at the edges of eddies, meanwhile, eddies can be formed due to instability along the fronts. Moreover, they can both induce submesoscale processes and strong vertical motions. Consequently, it is crucial to understand the correlation between eddies and fronts, along with their spatiotemporal distribution characteristics, for the transport of ocean energy and material and marine ecosystems. Generally, using remote sensing to detect eddies and fronts is based on geometrics, physical parameters, and handcrafted features. Existing approaches are inaccurate due to the highly dynamic nature of eddies and fronts as well as the lack of physical mechanisms between them. This paper proposes an adversarial approach for mining eddy-front coupling, dubbed the eddy-front generative adversarial network (EFGAN). In EFGAN, the generator follows the encoder–decoder structure and consists of a data encoder, a feature decoder, and a multi-task generation module. The rich contextual and semantic information on eddy features and frontal structure, which are the physical constraints for EFGAN, can be extracted from the fusion of satellite sea level anomaly (SLA) and sea surface temperature (SST) data, generating styled eddy-front coupling images with the accompaniment of the mask of eddy-front categories and styled fronts. To tackle the issue of inconsistency in the category of a single eddy, an instance consistency loss is designed to make the category of each individual eddy as consistent as possible, thus ensuring that the correlation of eddy-front belongs to a single category. Furthermore, multiple loss functions are combined to jointly guide network training to improve stability. Extensive experiments demonstrate that EFGAN outperforms state-of-the-art generative adversarial network-based models. The spatial distribution indicates that frontal eddies are more prevalent at the confluence where warm and cold currents meet. In the Kuroshio Extension region, there are concentrated distribution areas of frontal eddies that are strong in the boreal spring and summer, while eddy-induced fronts are highly active in the boreal winter and spring but weak in autumn.