  Quantum nonlocality as a witness of entanglement plays a crucial role in
various fields. Existing quantum monogamy relations rule out the possibility of
simultaneous violations of any Bell inequalities with partial statistics
generated from one Bell experiment on any multipartite entanglement or
post-quantum sources. In this paper, we report an efficient method to construct
multipartite Bell test based on any Bell inequalities. We demonstrate that
violating these monogamy relations can dynamically witness simultaneous Bell
nonlocalities of partial systems. We conduct a tripartite experiment to verify
quantum nonlocalities by violating a tripartite monogamy relation using a
maximally entangled two-photon state.
