The ICC said that the trio had been charged with breaking Article 2.3.1 of the Code of Conduct, which relates to "conduct that is contrary to the spirit of the game".
An interesting legal battle is now on the cards between the lawyers of Sri LankaCricket and International Cricket Council after the former has chose to contest the ICC sanctions.
Sri Lanka captain Dinesh Chandimal will miss the day-night Test against West Indies in Barbados.
"The original decision of the ICC match referee Javagal Srinath, handing Chandimal the maximum punishment available under the code, i.e. two suspension points and a fine of 100 percent of his match fee, will stand", cricket's governing body said in a statement.
With Rangana Herath a doubtful starter, Sri Lanka will likely be led by Suranga Lakmal in the final Test of the series that begins on Saturday (June 23). A person guilty of a level 3 offence could get between four and eight suspension points. They left the field, returning only forty minutes later, to actually start play.
The player was suspected of using saliva and a sweet to tamper with the ball and give it more spin after television images picked it up.
Sri Lankan cricket has lurched from one controversy to the next, with allegations of match fixing and corruption compounding the national team's worst streak on record.
Srinath also said that Chandimal had been less than convincing in his defence.
Mexico wins again at World Cup, beats South Korea 2-1
Winning the group with three straight victories will be a good sign, but getting past the next round is the ultimate goal. Heung-Min Son scored in the stoppage time to half the deficit but in the end it was no more than a consolation.