To　construct　dual　frames　with　good　structure　for　a　given　frame　is　a　fundamental　problem　in　the　theory　of　frames.　The　tensor　product　duals　of　tensor　product　frames　can　provide　a　rank-one　decomposition　of　bounded　antilinear　operators　between　two　Hilbert　spaces.　This　paper　addresses　tensor　product　dual　frames.　We　derive　a　necessary　and　sufficient　condition　for　two　tensor　product　Bessel　sequences　to　be　a　pair　of　dual　frames;　obtain　explicit　expressions　of　all　dual　frames　and　tensor　product　dual　frames　of　tensor　product　frames;　and　demonstrate　the　existence　of　non-tensor　product　dual　frames　of　tensor　product　frames.