19-year-old Abdullah Morsi was arrested when the security officials were searching the trains en route to upper Egypt, MENA news agency reported.
Abdullah was on the run after being charged with possession and using hashish, was sentenced by Banha Court on July 2, one year in prison and 10,000 EGP (USD1,400) fines for him and his friend, who was with him in the car when they were arrested, security officials said.
Abdullah's brother Osama said that his brother was arrested on the background of fake charge and injustice.
"My brother was not attempting to flee, we do not flee. We have nothing to be ashamed of or afraid to confront," said Osama through his Facebook page.
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Osama said that his brother was en-route to Beni Suef since father of one of his detained friends invited him for Iftar function.
Since Islamist ex-president Morsi's ouster last year, the Egyptian government has been cracking down on the Muslim Brotherhood and its supporters.
Morsi is currently in prison over charges of killing peaceful protesters, espionage, escaping from prison during the January 25 Revolution in 2011, and insulting the judiciary.
He has not been sentenced in any case so far.