Pronounced peculiarities of the frequency and amplitude dependences of the amplitude-dependent intemal friction have been revealed in martensitic P,' phase of quenched Cu-AI-Ni single crystals at temperatures 200-340 K. These peculiarities were not observed in PI' phase for crystals, subjected to ageing in austenite. Application of several experimental techniques, one of which enabled to observe directly a reversible anelastic strain during amplitude-dependent internal friction measurements, allowed to attribute the observed peculiarities of the frequency dependence in quenched samples to relaxation phenomena due to an interaction of mobile p d a l dislocations with mobile pinning obstacles.