The brief report in Okaz daily did not disclose the offence for which he was being punished but said the unidentified prince was also ordered to serve a prison sentence.
The flogging was carried out by a policeman on Monday after medical checks to ensure the prince was healthy, the paper added.
Recall that a Saudi prince was executed in Riyadh on Oct. 19 after a court found him guilty of shooting dead a fellow Saudi, in what Saudis said was the first execution of a prince since the 1970s.
Prince Turki bin Saud al-Kabir had pleaded guilty to shooting Adel al-Mohaimeed after a brawl, the ministry of interior said.
Saudi social media users interpreted the rare execution of a prince as a sign of equality under Islamic law.