We study the quantum coherence and its distribution of N-partite GHZ and W states of bosonic fields in the noninertial frames with arbitrary number of acceleration observers. We find that the coherence of both GHZ and W state reduces with accelerations and freezes in the limit of infinite accelerations. The freezing value of coherence depends on the number of accelerated observers. The coherence of N-partite GHZ state is genuinely global and no coherence exists in any subsystems. For the N-partite W state, however, the coherence is essentially bipartite types, and the total coherence is equal to the sum of coherence of all the bipartite subsystems.

The distribution and evolution of quantum coherence for multi‐qubit W and GHz states of Dirac fields in the non‐inertial frames and under the action of local environments is studied. It is found that the N‐qubit W state has all orders of coherence (from bipartite to N‐partite subsystems), and the coherence of the whole system is equal to the sum of all the bipartite coherences in the whole time evolution. However, the evolved N‐qubit GHz state has its coherence belonged only to the whole system and no coherence resides in any subsystems. Further, it is found that the expressions of coherence for both W and GHz states are covariant with respect to the transformation of decaying rates.