The incident happened when Stokes reacted to India players' celebrations following his dismissal by making inappropriate comments which were heard by both the on-field umpires, according to a statement from the ICC.
"Ben Stokes of England has received an official reprimand for breaching Level 1 of the ICC Code of Conduct during the opening day's play in the third Test against India," the ICC statement said.
In addition to the reprimand for his breach of Article 2.1.4, one demerit point has been added to Stokes' disciplinary record.
Pursuant to Article 7.6 of the Code, if Stokes reaches four or more demerit points within a 24-month period, they will be converted into suspension points and he will be banned. Two suspension points equate to a ban from one Test or two ODIs or two T20Is, whatever comes first for the player.
The charge was levelled by on-field umpires Marais Erasmus and Chris Gaffaney, and third umpire Kumar Dharmasena, all from the Emirates Elite Panel of ICC Umpires.
For all first offences, Level 1 breaches carry a minimum penalty of an official reprimand, a maximum penalty of 50 per cent of a player's match fee, and one or two demerit points.