Considering　the　joint　channel　estimation　and　data　detection　in　time-varying　orthogonal　frequency　division　multiplexing　(OFDM)　and　addressing　transmission　performance　degradation　induced　by　the　severe　inter-carrier　interference　(ICI)　at　very　high　speed,　a　new　progressive　iterative　channel　estimation　scheme　is　proposed.　To　alleviate　the　error　propagation　of　the　inaccurate　data　due　to　ICI,　the　measurement　subcarriers　in　the　Kalman　filter　is　designed　to　be　extended　from　pilots　subcarriers　to　all　the　subcarriers　progressively　through　the　iterations.　Furthermore,　in　iteration　process,　the　interference　of　the　non-pilot　data　to　the　measurement　subcarriers　is　considered　to　be　part　of　noise　in　the　modified　Kalman　filter,　which　improves　the　estimation　accuracy.　Simulation　indicates　that　the　proposed　scheme　improves　the　performance　in　fast　time-varying　situation.　©　2014　The　Journal　of　China　Universities　of　Posts　and　Telecommunications.