Nonstationary　Gabor　(NSG)　frames　for　L2(Double-struck　capital　R)$$　{L}＜^＞2\left(\mathrm{\mathbb{R}}\right)　$$　allow　for　flexible　sampling　and　varying　window　functions　and　have　found　applications　in　adaptive　signal　analysis.　Recently,　the　first　author　of　this　paper　generalized　the　notion　of　NSG　frames　for　L2(Double-struck　capital　R)$$　{L}＜^＞2\left(\mathrm{\mathbb{R}}\right)　$$　to　the　space　L2(Double-struck　capital　R,DOUBLE-STRUCK　CAPITAL　CK)$$　{L}＜^＞2\left(\mathrm{\mathbb{R}},{\mathrm{\mathbb{C}}}＜^＞K\right)　$$　of　vector-valued　signals　and　investigated　the　existence　of　vector-valued　NSG　(VVNSG)　frames.　In　this　paper,　we　consider　the　reconstruction　of　any　functions　in　L2(Double-struck　capital　R,DOUBLE-STRUCK　CAPITAL　CK)$$　{L}＜^＞2\left(\mathrm{\mathbb{R}},{\mathrm{\mathbb{C}}}＜^＞K\right)　$$　from　coefficients　obtained　from　VVNSG　frames.　We　provide　different　approximately　dual　frames　of　VVNSG　frames　and　give　the　corresponding　reconstruction　error　bounds.　In　particular,　for　a　special　class　of　VVNSG　frames　that　are　related　to　painless　VVNSG　frames,　we　show　that　the　approximately　dual　frames　carry　the　VVNSG　structure,　which　is　very　important　since　there　exist　fast　analysis　and　reconstruction　algorithms　for　VVNSG　frames.　We　also　provide　a　method　to　construct　the　special　class　of　VVNSG　Bessel　sequences.　Finally,　a　constructive　example　is　given　to　illustrate　the　theoretical　results.