The invention relates to a high-strength low-elasticity modulus TiZrNbHf high-entropy 
alloy and a preparation method thereof; the component of the high-entropy 
alloy is TiaZrbNbcHfd, wherein a is not less than 20 and not more than 35, b is not less than 20 and not more than 35, c is not less than 20 and not more than 35, and d is not less than 20 and not more than 35. The preparation method of the 
alloy comprises the following steps: descaling 
metallurgy raw materials (Ti, Zr, Nb and Hf metals), precisely weighing and proportioning according to a 
mole ratio for 
smelting alloy; 
smelting the alloy by using a non-consumable 
vacuum arc furnace or a cold 
crucible suspension furnace, 
smelting the alloy in a water-cooling 
copper crucible, suction 
casting or pouring the alloy in a 
copper mold through vacuum suction 
casting or 
metal mold equipment so as to obtain high-entropy alloy rod or platy material. The high-entropy alloy has high strength, low Young modulus, and excellent 
structure property stability at a high temperature, the 
alloy element is non-toxic to 
human body or low in 
toxicity; and therefore, the high-entropy has good application prospect on biomedical and high-temperature components.