The paper gives an overview of development and application of biocompatible alloys based on zirconium, titanium and niobium, featuring a low modulus of elasticity. The technology of producing a biocompatible 60Zr–20Ti–20Nb alloy and semi-finished products from it in the form of rods and powders for additive manufacturing was developed, and their structure and mechanical properties were studied. The potential for application of the developed biocompatible 60Zr–20Ti–20Nb alloy for manufacturing medical implants is shown.