The deformed biomedical Ti–(18–20)Nb–(3–4)Zr–(1–1.2)Si (% wt.) alloys are studied. Their rolling is carried out at 950°С by means of the air- and water-cooling; the quenching in water and oil with heating up to 1050°С is also used. As established with the x-ray phase analysis, the hot deformation of Ti–(18–20)Nb–(3–4)Zr–(1–1.2)Si alloys contributes to the $\beta$-solid-solution heterogeneity into $\beta_{1}$ phase based on Ti–Nb and $\beta_{2}$ phase based on Zr–Ti, as a result of which a final dispersed nonequilibrium ($\alpha^{''}$ + $\alpha^{'}$) structure is formed after cooling, that reflects the ($\beta_{1}$ + $\beta_{2}$) microstructure formed due to the previous decomposition. After deformation with air cooling, the experimental alloys contain the largest amount of $\alpha^{'}$ phase and have high strength and low plasticity. As shown, a rising of the cooling rate and temperature during quenching leads to the predominance of the orthorhombic $\alpha^{''}$ phase, while the strength of the alloys decreases with a significant increase in plasticity. In the process of deformation and heat treatment, densely and uniformly distributed disperse silicides are also released in the structure, which contribute to the strengthening. For Ti–(18–20)Nb–(3–4)Zr–(1–1.2)Si alloys, the temperature range $T$ = 1040 $\pm$ 20°С is established, the quenching from which allows to obtain high mechanical properties: $\sigma_{B}$ = 1100–1150 МPа, $\sigma_{0,02}$ = 800–850 МPа, $\delta$ = 11–11,5%. By deformation and quenching of the experimental alloys, a composite material with alloyed soft matrix strengthened by the uniformly distributed dispersed hard particles of silicides is fabricated.