The remaining three matches will be part of a suspended sentence over a one-year period, Sri Lanka Cricket said in a statement.
Jason Roy made a brilliant 162 to lead England to a crushing six-wicket victory over Sri Lanka in the fourth one-day international at The Oval on Wednesday.
A fluent unbroken third-wicket partnership of 114 between Jos Buttler and Eoin Morgan carried England to an emphatic eight-wicket victory over Sri Lanka in a one-off Twenty20 international on Tuesday.
Teenager Trent Alexander-Arnold curled in a magnificent free kick on his European debut to set Liverpool on the way to a 2-1 win at Hoffenheim which put them on the brink of UEFA Champions League group stage place.
Joe Root returned to form with a fluent 93 to lead England to a crushing 122-run victory over Sri Lanka in the fifth and final one-day international in Cardiff on Saturday.