To　realize　broadband　energy　harvesting　at　low-frequency　excitation,　this　paper　proposes　a　rolling　magnet　bistable　electromagnetic　harvester　(RM-BEH)　which　utilizes　the　rolling　motion　of　a　magnetically　levitated　magnet.　The　dynamic　model　of　the　RM-BEH　is　established,　based　on　which　the　output　of　the　RM-BEH　is　predicted　through　electromagnetic　induction　combined　with　finite　element　analysis.　By　calculating　the　parameter　region　for　monostable　and　bistable　configurations,　the　broadband　response　characteristics　of　a　bistable　system　with　shallower　potential　wells　are　investigated.　Results　show　that　the　RM-BEH　could　achieve　interwell　oscillation　in　the　frequency　range　between　5.8　Hz　and　22　Hz　under　sweep　frequency　excitation　with　a　level　of　0.5　g.　Under　constant　frequency　excitation,　multiple　vibrational　patterns　of　the　RM-BEH　are　presented　and　examined.　To　identify　the　multiple　solutions,　harmonic　balance　method　results　are　presented,　indicating　that　high-energy　orbit　oscillation　can　be　achieved　with　appropriate　initial　conditions.　Furthermore,　the　response　of　RM-BEH　under　Gaussian　white　noise　and　human　motion　excitations　is　considered　and　results　indicate　that　the　RM-BEH　could　travel　across　the　potential　wells　easily　to　generate　large　output.　In　general,　the　broadband　response　characteristic　under　harmonic　excitation　and　considerable　output　under　human　motion　excitation　demonstrate　the　excellent　application　foreground　of　the　RM-BEH.　©　2022　Elsevier　Ltd