In　this　article,　a　decoupled　fully　discrete　scheme　for　solving　2D　magnetohydrodynamics　(MHD)　equations　is　proposed.　The　decoupled　scheme　is　used　for　time　discretization,　and　the　finite　element　method　is　used　for　spatial　discretization.　Firstly,　the　almost　unconditional　stability　(Delta　t　＜=　C)　of　this　scheme　is　established.　Then　optimal　L-2　and　H-1　error　estimates　of　numerical　solution　are　provided.　Finally,　a　numerical　example　is　presented　to　confirm　our　theoretical　results　and　show　the　high　efficiency　of　the　decoupled　scheme.　(C)　2015　Elsevier　Ltd.　All　rights　reserved.