We present the quantum $κ$-deformation of BMS symmetry, by generalizing the lightlike $κ$-Poincaré Hopf algebra. On the technical level, our analysis relies on the fact that the lightlike $κ$-deformation of Poincaré algebra is given by a twist and the lightlike deformation of any algebra containing Poincaré as a subalgebra can be done with the help of the same twisting element. We briefly comment on the physical relevance of the obtained $κ$-BMS Hopf algebra as a possible asymptotic symmetry of quantum gravity.

13 pages, minor changes-presentation improved, final discussion considerably expanded, accepted for publication in Physics Letters B