Hyperspectral　imagery　has　been　widely　used　in　various　fields　for　its　rich　amount　of　feature　information.　The　quality　of　hyperspectral　imagery　has　been　set　higher　requirements.　As　a　result　of　the　limitation　of　imaging　semiconductor　technology,　hyperspectral　image　resolution　needs　to　be　improved　by　a　signal　processing　method.　This　paper　presents　a　recovery　algorithm　of　spatial　and　spectral　coordinate　super-resolution　of　hyperspectral　image　based　on　redundant　dictionary.　Compared　with　the　traditional　image　super-resolution　restoration　algorithm,　the　super-resolution　restoration　in　the　spectral　of　hyperspectral　image　was　added　on　the　basis　of　spatial　resolution　improvement.　The　original　constraint　was　added　in　the　algorithm　and　edges　of　reconstructed　image　were　sharpened　with　the　Maximum　a　Posterior.　The　results　show　this　algorithm　can　effectively　improve　spatial　and　spectral　resolution　of　the　hyperspectral　imagery.