In this paper, the problem of finite-/fixed-time synchronization (FFTS) is studied for delayed diffusive Hopfield neural networks. By employing Filippov regularization approaches, inequality techniques and a generalized finite-/fixed-time stability theorem, a novel state feedback controller is designed to realize the FFTS of the considered network model. The obtained theoretical results generalize and improve existing ones in the literature. Finally, a numerical example is presented to show the eff...