We systematically study the magnetic dipole moments of multiquark states. In this study, the magnetic dipole moments of possible $B^- B^{*-}$, $B^0 B^{*-}$, $B^- B^{*0} $, $B^0 B^{*0}$, $B_s^0 B^{*-}$, $B^- B_s^{*0}$, $B_s^{0} B^{*0}$, $B^0 B_s^{*0}$ and $B^0_s B_s^{*0}$ states are extracted by means of light-cone sum rules. We explore magnetic dipole moments of these states as molecular picture with spin-parity $J^P = 1^+$. The magnetic dipole moments of hadrons include useful information on the distributions of charge and magnetization their inside, which can be used to understand their geometrical shapes and quark-gluon organizations. The results in the present study together with the spectroscopic parameters may elucidate the future theoretical and experimental researches on the characteristics of doubly-bottom tetraquark states.Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.