The 16-year-old was detained at 12.40pm today following an operation by Strathclyde Police in the south side of Glasgow.
The message, allegedly inciting others to commit acts of disorder, was posted on the social networking site, and is understood to have been reported to the police by concerned members of the public.
Police said there was no intelligence to suggest there is any trouble planned in the area, and officers will continue to monitor the situation.
Assistant Chief Constable Fiona Taylor, Strathclyde Police Operational Support, said: "This detention shows that we are monitoring the situation closely and we will take decisive action to prevent anyone inciting violence of any kind in Glasgow or anywhere else in the force area.
"Communities in London and other cities in England have been outraged at the disgraceful scenes of destruction and looting that they have witnessed and we are sure that communities here would be just as horrified to think that anyone was trying to incite similar acts of mindless criminality.
"Let there be no mistake, we are ready for any eventuality and will take any action necessary to prevent this kind of abhorrent behaviour.
"The action we took today should act as a strong warning to anyone who is thinking of causing trouble here."