  We study the acceleration effect on the genuine tripartite entanglement for
one or two accelerated detector(s) coupled to the vacuum field. Surprisingly,
we findthatthe increase anddecrease in entanglement have no definite
correspondence with the Unruh and anti-Unruh effects. Specifically, Unruh
effect can not only decrease but also enhance the tripartite entanglement
between detectors; also, anti-Unruh effect can not only enhance but also
decrease the tripartite entanglement. We give an explanation of this
phenomenon. Finally, we extend the discussion from tripartite to N-partite
systems.
