Neel Lennon, manager of Celtic, says that "I welcome the actions of the Rangers" after the abuse was targeted Captain Scott Brown of a trailer.
A Rangers fan mocked Brown's deceased sister following Celtic's 2-0 win at the Ibrox derby and a 15-year-old was charged by the police.
The Rangers have also imposed a life-long ban on the Supporters.
"If we try to live our lives, they have no right to abuse or insult such people," Lennon said.
"I welcome Rangers for the speedy action they have taken and the support that many of their fans have given Scott, but it must stop, there is no reason for that."
Brown said on Thursday he did not mind if the fans in the football stadium "scream and curse me," but it's a different matter outside the game environment.
"I briefly talked to him about it and I think he coped very well with the situation," Lennon said.
The Celtic manager said it was "unbelievably difficult" not to react in such situations, but pointed out that he and his captain were now more mature and able to deal with the problem.
While Lennon emphasized that "95% of the fans are really good," he pointed out that football fans around the world have "rioted a lot more racistly" while Scotland has "a sectarian problem."
The abuse he received caused Lennon to break away from social media because "it sometimes played a bit with my head and it could be quite disturbing."
"Sometimes the boys think it's okay," he said. "It's not like that, we have people in the highest caliber of authorities and players who ask social networks to do something about it, it has to stop."
"There is no responsibility or responsibility for these people to stop publicating what they want to say in a public forum, we live in a democracy, but somewhere a border has to be drawn because it violates the law."