Shunting　inhibitory　cellular　neural　networks　are　studied.　Some　sufficient　criteria　are　obtained　for　the　existence　and　uniqueness　of　pseudo　almost-periodic　solution　of　this　system.　Our　results　improve　and　generalize　those　of　the　previous　studies.　This　is　the　first　paper　considering　the　pseudo　almost-periodic　SICNNs.　Furthermore,　several　methods　are　applied　to　establish　sufficient　criteria　for　the　globally　exponential　stability　of　this　system.　The　approaches　are　based　on　constructing　suitable　Lyapunov　functionals　and　the　well-known　Banach　contraction　mapping　principle.　©　2011　Haihui　Wu.