This　paper　deals　with　the　robust　mixed　H2/H∞　filtering　problem　with　regional　pole　assignment　for　linear　uncertain　discrete-time　systems　in　the　presence　of　two　sets　of　exogenous　disturbance　inputs.　A　general　framework　for　solving　this　problem　is　established　using　a　linear　matrix　inequality　(LMI)　approach　in　conjunction　with　regional　pole　constraints,　and　H2　and　H∞　optimization　characterization.　Necessary　and　sufficient　conditions　for　the　solvability　of　the　problem　are　given　in　terms　of　a　set　of　feasible　LMIs.　A　numerical　example　is　provided　to　illustrate　the　effectiveness　of　the　proposed　design　algorithm.