Influence of Unruh effect on quantum entanglement of two Dirac particles in non-Markovian environment is investigated. Results show that the sudden death and revival of entanglement occur only in some special cases. When the detector is in noninertial frame, Unruh effect has a great influence on the entanglement revival phenomenon. When the acceleration of detector in noninertial system is not more than a critical point, the sudden death and revival of entanglement still occur, while they don’t occur when the acceleration is greater than the critical point. A reasonable explanation is proposed that Unruh effect affects the memory effect of non-Markovian environment, the appearance of quantum entanglement and its growth rate in the environment.