Kusal Mendis, Niroshan Dickwella and Danushka Gunathilaka were all handed one-year bans by Sri Lanka Cricket.
England beat Sri Lanka in the first of three ODI series on Tuesday courtesy of Joe Root's unbeaten half century and Chris Woakes' four wicket haul.
Sri Lanka's cricketers have reportedly breached the bio-bubble environment ahead of the first ODI in Durham on Tuesday.