The punishments have come as Uefa have launched their own enquiry into what happened at the end of the game between Serbia and England, as players from both sets of teams engaged in a mass brawl after the final whistle.
Defender Danny Rose claimed he was abused by members of the crowd in Serbia and following the end of the match he showed his annoyance by kicking the ball away and was duly sent off by referee Huseyin Gocek.
This appeared to kick-start the brawl as Serbian players began to crowd around the left-back which led to shoving from both sides including players and staff from the sidelines.
Ninkovic, especially, made the point of confronting Rose on the pitch and pushed him slightly, which he admitted was down to his anger as he felt the 22-year-old was the instigator to the brawl that followed.
He told Serbian newspaper Novosti: "I was angered by his reaction so I rushed over to explain to him that he should not do that.
"I did not mean to hit him or insult him. I walked over to him and pushed him."