The 64-year-old Prince modestly told guests at a reception in Qatar that the language "goes in one ear and out the other", but an aide disclosed that he is so keen to learn it that he has been having private tuition for more than six months.
Understanding Arabic would enable the Prince, who is passionate about encouraging dialogue between different religions, to read the Quran in its original form, The Telegraph reported.
The Prince was in Doha attending the launch of the Qatar-UK Alumni Network, for Qataris who have attended British universities, when he told a group of guests: "You all speak such good English".
Mohammed Bin Saleh Al-Sada, chairman of the association and Qatar's energy minister, asked the Prince if he spoke any Arabic, and the Prince said, "I tried to learn it once but I gave up. It goes in one ear and out the other".
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"It's never too late to learn," Al-Sada told him.
The Prince speaks good French, some German, and has also had lessons in Welsh.