Ageing properties of the three-dimensional pure and diluted Ising models are investigated for case with quenching from a high temperature initial state to their critical points. The two-times autocorrelation and response functions for the systems with spin concentrations p = 1.0, 0.8, and 0.6 are computed and analysed. The fluctuation-dissipation theorem violation for considered 3D Ising models are shown with the asymptotic values of the fluctuation-dissipation ratio X∞(p) < 1/2. The asymptotic values of universal fluctuation-dissipation ratio X∞ were measured, and it was shown that X∞disorder(p < 1) > X∞pure(p = 1).