The pseudoelasticity effect was studied in amorphous–crystalline Ti40.7Hf9.5Ni44.8Cu5 shape-memory alloy with different volume fractions of the crystalline phase. Pseudoelastic behaviour was found in the samples with volume fraction of the crystalline phase of 60 % and above. An increase in the volume fraction of the crystalline phase led to a rise in the strain accumulated due to stress-induced martensite, an increase in the mechanical hysteresis and in a decrease in the stress needed for the appearance of the stress-induced martensite. It was found that the dependences of the pseudoelasticity effect parameters on the volume fraction of the crystalline phase were due to the influence of the surface energy on the formation of martensite crystals with preferable orientation. An increase in the volume fraction of the crystalline phase led to an increase in the grain sizes and, as a result, in a decrease in the surface energy. It provided an increase in the number of preferably oriented martensite variants appea