Filippo Ranocchia opened the scoring just before half time when he rocketed in a volley from a tightish angle inside the box.
Pietro Ceccaroni doubled Palermo’s lead in the 72nd minute when he got in front of his man to head in Francesco Di Mariano’s free kick from out wide.
Jacobo Segre put the icing on the cake in the 81st minute with a header from six yards out.
Bari are 13th on the table, five points away from both the promotion and relegation playoffs.
Palermo are fifth with 39 points.
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