In　this　paper,　a　robust　THP　is　proposed　for　broadcast　channel　in　multi-user　multi-input　multi-output　(MU-MIMO)　system,　in　which　the　channel　uncertainty　caused　by　feedback　delay　and　mobile　speed　is　taken　into　account.　In　order　to　acquire　the　imperfect　channel　state　information　at　transmitter　(CSIT),　a　dynamic　CSIT　model　is　introduced　where　the　channel　temporal　and　spatial　correlations　are　considered.　By　utilizing　the　unchanged　channel　statistics　and　accurate　outdated　feedback　channel　information　jointly,　the　imperfect　CSIT　is　obtained　as　the　channel　estimate　and　error　covariance.　Based　on　the　obtained　imperfect　CSIT,　a　Minimum　Mean-Square　Error　(MMSE)　Tomlinsion-Harashima　precoding　(THP)　is　designed　and　the　closed-form　solution　is　derived　by　the　Lagrangian　multiplier　approach　under　total　power　constraint.　Simulation　results　are　provided　to　indicate　the　preferable　performances　of　the　robust　THP.　Performance　analysis　with　respect　to　feedback　delay　and　mobile　speed　is　also　given.