This was the first time one demerit point either player has had since the system came into effect on 22 September 2016.
The incident involving Shakib happened in 19.2 over of the Bangladesh innings when he came to the edge of the boundary and gestured at his batsmen to come off the field while remonstrating against an umpiring decision.
As regards Nurul, the reserve player argued and pointed finger at Sri Lanka captain Thisara Perera which led to unruly public behaviour after he was sent by the team on to the field of play to pass on a message to the two batsmen.
On Saturday morning, both Shakib and Nurul pleaded guilty to the offences and accepted the sanctions proposed by Chris Broad of the Elite Panel of ICC Match Referees and, as such, there was no need for a formal hearing.
Announcing his decision, Broad said: "Friday's incidents were disappointing as you don't want to see such player behavior during any level of cricket. I understand that it was a tense and an edge-of-the-seat match with place in the final on the line, but the actions of the two players were unacceptable and cannot be condoned as they clearly went overboard. Had the fourth umpire not stopped Shakib and the fielders remonstrating, and then the on-field umpires not intervened between Nurul and Thisara, things could have become worse."
The charges were levelled by on-field umpires Raveendra Wimalasiri and Ruchira Palliyaguruge, third umpire Ranmore Martinesz and fourth umpire Lyndon Hannibal.
Level 1 breaches carry a minimum penalty of an official reprimand, a maximum penalty of 50 percent of a player's match fee, and one or two demerit points.