  Nonlocality swapping of bipartite binary correlated boxes can be realized by
a \emph{coupler} ($\chi$) in nonsignaling models. By studying the swapping
process we find that the previous bipartite coupler can be applied to the
swapping of two multipartite boxes, and then generate a multipartite box with
more users than that of any of the boxes before swapping. Here quantum bound
still appears in the scheme. The bipartite coupler also can be applied to a
hybrid scheme of generating a multipartite extremal box from many PR boxes. As
the analogue of multipartite entanglement swapping, we generalize the
nonlocality swapping of bipartite binary boxes to multipartite binary boxes by
using a multipartite coupler $\chi_{N}$, and get the probability of success by
connecting the coupler to the generalized Svetlichny inequality. The
multipartite coupler acting on many multipartite boxes makes multipartite
nonlocality swapping be a more efficient device to manipulate nonlocality
between many users. The results show that Tsirelson's bound for quantum
nonlocality emerges only when two of the $n$ boxes involved in the coupler
process are noisy ones.
