While former captain Dilshan will lose 25 percent of his match fee for excessive appealing, all-rounder Perera was docked 20 percent for bringing the game into disrepute.
A disciplinary hearing was not required as both cricketers admitted the charges and accepted the sanctions, the ICC said in a statement.
The hosts won the first of the seven-match ODI series by 25 runs in Colombo on Wednesday.
Image: Tillakaratne Dilshan
Photograph: Gareth Copley/Getty Images