We have studied the influence of silver addition in various concentrations on the structure and shape memory effect of biocompatible TiNiMoFe alloys. All these alloys at room temperature occur in a mixed state (B2 + R or B2 + R + B19′) with B2 austenite phase as the main component. It is established that small concentrations of silver (within 0.5 at % Ag) suppress the shape memory effect, while greater additions (1 at % Ag) stimulate the nucleation and growth of martensite crystals. This is accompanied by increasing content of the main B2 austenite phase and Ag particles in the alloy.