In　this　paper,　a　class　of　two-layer　heteroassociative　networks　called　bidirectional　associative　memory　(BAM)　networks　with　impulses　is　studied.　Some　new　sufficient　conditions　are　established　for　the　existence　and　globally　exponential　stability　of　a　unique　equilibrium,　which　generalize　and　improve　the　previously　known　results.　The　sufficient　conditions　are　easy　to　verify　and　when　the　impulsive　jumps　are　absent　the　results　reduce　to　those　of　the　non-impulsive　systems.　The　approaches　are　based　on　employing　Banach＇s　fixed　point　theorem,　matrix　theory　and　its　spectral　theory.　Our　results　generalize　and　significantly　improve　the　previous　known　results　due　to　this　method.　Examples　are　given　to　show　the　feasibility　and　effectiveness　of　our　results.　(C)　2006　Elsevier　Ltd.　All　rights　reserved.