It was demonstrated that in single crystals of disordered iron-based (Fe-28%Ni-17%Co-11.5%Al-2.5%Х (at. %) (X = Ti, Ta, Ti + Ta) alloys, which undergoing γ-α' thermoelastic martensitic transformation (γ – fcc – face-centered cubic lattice, α' – bct – body-centered tetragonal lattice), the precipitation of ordered γ'-phase particles at aged at 973 K for 0.5 h and 7 h results in the shape memory effect and superelasticity. It was experimentally discovered, that the both mechanical and functional properties – the shape memory effect and superelasticity – can be controlled by changing the chemical composition, the size and the volume fraction of dispersed particles of γ'-phase.