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Abstract A predator–prey model, with aged structure in the prey population and the assumption that the predator hunts prey of all ages, is proposed and investigated. Using the uniform persistence theory for infinite dimensional dynamical systems, the global threshold dynamics of the model determined by the predator’s net reproductive number ℜP $\Re_{P}$ are established: the predator-free equilibrium is globally stable if ℜP<1 $\Re_{P}<1$, while the predator persists if ℜP>1 $\Re_{P}>1$. Numerical simulations are given to illustrate the results.