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
Some not comfortable about playing with Aamir: PCB chief
10 critical injuries on the cricket field
Cricketing world in shock over Phil Hughes's death
'Prepared or not, it was always going to be tough in India'
India consolidates No 1 ranking in ICC ODI list