In　this　paper,　we　propose　a　rapid　and　high-fidelity　protocol　to　generate　Bell　states　by　dissipation　dynamics　and　Lyapunov　control.　With　a　designed　dissipative　path,　an　arbitrary　initial　state　can　evolve　into　the　target　Bell　state　with　high　fidelity.　Besides,　the　evolution　is　accelerated　by　Lyapunov　control　pulses,　particularly　at　the　early　stage　of　the　evolution.　The　time　consumption　of　achieving　a　certain　threshold　of　required　fidelity　is　shortened　remarkably.　By　analyzing　the　impact　of　the　pulses　on　the　protocol,　we　show　how　to　select　the　suitable　pulses　and　their　strengths　to　achieve　a　better　fidelity.　At　last,　we　numerically　prove　that　the　protocol　is　robust　against　possible　noises.　The　results　presented　in　the　paper　may　open　a　new　path　to　achieve　fast　and　high-fidelity　generation　of　entangled　states　based　on　dissipation　dynamics.　©　2021,　The　Author(s),　under　exclusive　licence　to　Springer　Science+Business　Media,　LLC,　part　of　Springer　Nature.