In this paper,we consider the secure data transmission over α-η-κ-μ fading channels,which are recently proposed to encompass nearly all the well-known statistical models adopted in the literature.In particular,we address the secrecy performance in terms of the average secrecy capacity (ASC) and the secrecy outage probability (SOP),for which novel analytical expressions are derived.Simulation results verify the analysis and demonstrate the impact of the physical parameters on the secrecy performance of this new channel fading model.