We report on the magnetic properties of monovacancy defects in neutron-irradiated graphite, probed by ¹³C nuclear magnetic resonance spectroscopy. The bulk paramagnetism of the defect moments is revealed by the temperature dependence of the NMR frequency shift and spectral linewidth, both of which follow a Curie behavior, in agreement with measurements of the macroscopic magnetization. Compared to pristine graphite, the fluctuating hyperfine fields generated by the defect moments lead to an enhancement of the ¹³C nuclear spin-lattice relaxation rate 1/T₁ by about two orders of magnitude. With an applied magnetic field of 7.1 T, the temperature dependence of 1/T₁ below about 10 K can well be described by a thermally activated form, 1/T₁α exp(-/KBT) , yielding a singular Zeeman energy of () meV, in excellent agreement with the sole presence of polarized, non-interacting defect moments.