The duo were charged by umpires for their physical clash during Sunday's play in the second Test at Adelaide Oval.
Johnson and Stokes have appeared in a hearing before match referee Jeff Crowe and both pleaded not guilty.
Crowe said he was making deliberations on the case after Australia secured victory in the Test on Monday.
Stokes and Johnson made contact with each other while the Englishman was batting on Sunday.
The pair collided during a Johnson over and were charged under a rule which prohibits any inappropriate physical conduct.
Crowe said his decision would be released by ICC headquarters in Dubai within 24 hours.
The maximum penalty is a ban of one Test and/or a fine of their entire match fee.