The invention discloses a biomedical TiZrNbTa high-entropy alloy and a preparation method thereof. The high-entropy alloy has a chemical formula of (TiaZrb)x(NbcTad)yMz; the atomic percents of all components are as follows: a not more than 35 at% and not less than 0, b not more than 35 at% and not less than 0, c not more than 35 at% and not less than 0, d not more than 35 at% and not less than 0, a+b=x, c+d=y, x not more than 70 at% and not less than 5, y not more than 70 at% and not less than 5, M is any one or more in V, Mo, Sn, W, Mn, Al, Fe, Co, Ni, Cu, Cr and Zn, z not more than 35 at% and not less than 0, and x+y+z=100. The alloy is higher in strength, excellent in plasticity and low in Young modulus; the components of the alloy is free of poison on human bodies, or are low-toxicity elements to satisfy the biomedical demands; and the high-entropy alloy is broad in application prospect in the aspect of biomedical materials.