  There exist gravitational memory effects in Brans-Dicke theory. They are
closely related to the Bondi-Metzner-Sachs symmetries living on the null
infinity in an isolated system. By studying the asymptotically flat spacetime
in Brans-Dicke theory and the asymptotic symmetries, one discovers that the
displacement memory effect in the tensor sector is due to the vacuum transition
caused by the null energy fluxes panetrating the null infinity, while in the
scalar sector, the vacuum transition is due to the angular momentum fluxes.
Together with the spin and the center-of-mass memory effects, the displacement
memories are constrained by various flux-balance laws.
