Dirac fermions display a singular response against magnetic and electric fields. A distinct manifestation is large diamagnetism originating in the interband effect of Bloch bands, as observed in bismuth alloys. Through 209 Bi NMR spectroscopy, we extract diamagnetic orbital susceptibility inherent to Dirac fermions in the semiconducting bismuth alloys Bi 1−x Sb x (x = 0.08 − 0.16). The 209 Bi hyperfine coupling constant provides an estimate of the effective orbital radius. In addition to the interband diamagnetism, Knight shift includes an anomalous temperature-independent term originating in the enhanced intraband diamagnetism under strong spin-orbit coupling. The nuclear spin-lattice relaxation rate 1/T 1 is dominated by orbital excitation and follows cubic temperature dependence in the extensive temperature range. The result demonstrates the robust diamagnetism and low-lying orbital excitation against the small gap opening, whereas x-dependent spin excitation appears at low temperatures.Relativistic Dirac fermions exhibit large diamagnetism at room temperature, as observed in bismuth alloys Bi 1−x Sb x 1, 2) and graphite. 3,4) Similar to supercurrent of the Meissner effect, the diamagnetism of Dirac semimetals with linearly crossing bands comes from dissipationless orbital current in thermodynamic equilibrium under magnetic field. In contrast to the Landau-Peierls diamagnetism of conducting electrons, the diamagnetism in Bi 1−x Sb x is enhanced as the chemical potential µ is located close to the Dirac point 1,5) or inside the band gap. The interband effect of Bloch bands has solved the mystery based on the exact formula of orbital susceptibility for three-dimensional (3D) Dirac fermions 6,7) and relates to the giant spin Hall effect 8) observed in Bi 1−x Sb x . 9) Since the transport properties include a significant *