For biomedical applications, Ti-X%Zr-Y%Nb-0.2%Pd(X:10$sim$20, Y:2$sim$8) alloys not containing harmful Al and V were newly designed, and the effect of alloy composition and heat treatment on the microstructure and mechanical properties was investigated. From the results, it was shown that the mechanical properties were enhanced with the addition of Zr or Nb. The effect of heat treating on room temperature strength was investigated by aging treatment after solution treatment. The mechanical properties of Ti-20%Zr-4%Nb-0.2%Pd alloy aged at 400$^{circ}C$ for 10hrs was found to be superior to those of the pure Ti and Ti-6%Al-4%V ELI alloy.