Canaries defender Ryan Bennett was forced to close down his account on the social networking site after threatening fans by posting the words, "I'll finish you in a couple of second", in response to provocation in the wake of the recent loss to Arsenal.
Hughton said that in this day and age, players have to be extremely cautious about what they write and who they post to.
"We have a policy at the club (on social media)so it's been dealt with at club level," he said.
"It is an issue which is being dealt with by the FA but it's a reminder to those who decide to go on Twitter that when somebody like Ryan Bennett, who is a smashing lad, can have a charge pending then it can happen to anybody.
"If there needs to be a warning to anybody then it's there.
"There is a responsibility for everybody that decides to have a Twitter account to what they say. They are individuals that are in the limelight and there are boundaries that they are not allowed to cross.
"It is difficult because those who go on it do so to put what they feel are things of interest that supporters might want to hear, but with that there come boundaries of what you can and what you cannot get involved in."