High-temperature superconductors (HTS) make it possible to achieve magnetic fields beyond the 23.5 T limit of low-temperature superconductors (LTS). For higher energy density, high-performance HTS with Je > 1000 A/mm2 enable reduction in coil winding length and a smaller magnet size. Among HTS, REBa2Cu3O7-δ (REBCO, RE = rare earth) exhibits excellent mechanical properties and superior performance over a wide range of temperatures and magnetic fields. REBCO tapes can be converted to various formats, including round wires. The state-of-the-art REBCO superconductors for ultra-high field magnets, including cable/wire architectures, are reviewed. R&D needs to address remaining challenges with REBCO superconductors for ultra-high magnetic field applications are discussed.