Nonstationary　Gabor　(NSG)　frames　for　L2(R)　allow　for　flexible　sampling　and　varying　window　functions　and　have　found　applications　in　adaptive　signal　analysis.　Since　any　numerical　implementation　of　NSG　frames　is　based　on　a　discrete　model,　the　first　author　of　this　paper　introduced　discrete-time　NSG　frames　and　investigated　the　existence　and　construction　of　NSG　frames　for　l2(Z)　recently.　In　this　paper,　we　consider　the　reconstruction　of　any　functions　in　l2(Z)　from　coefficients　obtained　from　NSG　frames.　Since　perfect　reconstruction　is　in　general　not　feasible　from　NSG　frame　coefficients,　we　resort　to　approximately　dual　frames　and　estimate　the　reconstruction　errors.　We　provide　different　approximately　dual　frames　of　NSG　frames　under　some　conditions　and　give　the　corresponding　reconstruction　error　bounds.　In　particular,　for　a　class　of　NSG　frames　that　are　related　to　painless　NSG　frames,　we　show　that　the　approximately　dual　frames　carry　the　NSG　structure.　Finally,　a　constructive　example　is　given　to　illustrate　the　theoretical　results.