The cyclic stability of superelasticity in a wide temperature range was investigated on aged at 573 K for 0.5 h Co35Ni35Al30 single crystals oriented along the [001]-direction in compression. Aged single crystals exhibited superelasticity in a wide temperature window from 223 to 548 K (SE = 325 K) with high cyclic stability compared with the initial quenched crystals SE = 175 K (from 373 to 548 K) due to the strengthening of the high-temperature B2-phase by nanoscale particles. It is shown that the aged single crystals demonstrate excellent cyclic stability of superelasticity at room temperature during 10 000 loading/unloading cycles without any significant degradation of reversible strain, critical stresses for the stress-induced martensitic transformations and stress hysteresis. The main mechanisms of the superelasticity degradation during cyclic tests have been determined