Titanium–2 mass%Cu and Ti–10 mass%Cu alloys were fabricated by powder metallurgy. The alloys were precipitation hardened to observe effect of heat treatment to their wear property. It was found that hardness of the two alloys increased after solution treatment to 320 and 526 HV, and after aging to 441 and 612 HV. However, wear resistance, as characterized by friction coefficient and mass loss in a pin-on-disc wear test deteriorated. In term of wear resistance, a lamellar morphology of eutectoid αTi/Ti₂Cu was favorable to the homogenized morphology of heat treated alloys. Lowest specific wear rate was found in as-sintered Ti–10 mass%Cu, having a value of 1.16 × 10⁻¹³ m³/N·m.