An ingot of alloy Ti – 24% Al – 15% Nb – 1% Mo with a mass of 600 kg was obtained by vacuum-arc melting with consumable electrode. The chemical composition of the alloy (wt.%) was as follows: 12.55 Al, 27.36 Nb, 1.84 Mo, 0.15 Fe, 0.016 C, 0.0140 N, 0.0051 H, remainder Ti. The ingot was forged for bars 220 mm in diameter at a temperature of the - and (2 + B2)-ranges. Then the bars were cut into washers that were subjected to upsetting. After this the forged bars were rolled at a temperature from the two-phase range and used for making ring preforms 760 600 150 mm in size. Specimens 20 mm diameter and 100 nm long were cut from the rings in the longitudinal direction and heat treated in the following mode: hardening for solid solution at 980°C (1 h) and aging in the lower (2 + O + B2)-region. This yielded a triplex structure in the alloy. A specimen for LCF tests is presented in Fig. 1. The tests were performed in an MTS servohydraulic installation, which makes it possible to perform cyclic loading with control of the deformation. The deformation amplitude was changed within 0.4 – 1.2%, the coefficient of cycle asymmetry R = – 1, the stress frequency was 0.1 – 0.33 Hz, and the cycle shape was triangular. We also performed ten