Abstract Using the Quantum Monte Carlo simulation (QMCS), the dynamic blocking temperature of a nano-graphene bilayer has been investigated within the framework of the Transverse Ising Model (TIM) with mixed spins, under the existence of the time-dependent oscillating longitudinal magnetic field (h (t)= h b+ h 0 cos (ω t)) and the transverse field (Ω). The influence of the time-dependent oscillating longitudinal magnetic field, the period of magnetic field (τ) and the transverse field (Ω) on the thermal behavior of the total longitudinal and transverse dynamic order parameters, the total dynamic magnetic susceptibility and the dynamic hysteresis of the nano-graphene bilayer are also studied. As results, we remark the appearance of multiple hysteresis loops and the system exhibits the superparamagnetic behavior at the dynamic blocking temperature.