The　construction　of　bi-frames　is　a　fundamental　problem　in　frame　theory.　Due　to　their　wide　applications,　the　study　of　vector-valued　frames　and　subspace　frames　has　interested　many　mathematicians　in　recent　years.　In　this　paper,　we　introduce　the　weak　Gabor　bi-frame　(WGBF)　in　vector-valued　subspaces,　characterize　WGBFs　on　the　time　domain,　and　present　some　examples.