Marc-Antoine Audette and Sebastien Trudel say they posed as Prime Minister Stephen Harper and were able to get Ban Ki Moon on the phone.
The so-called Masked Avengers say the diplomat was rushed out of an important meeting to speak to them.
They say Ban Ki-Moon became confused when fake Harper complained he was too busy combing his hair with crazy glue.
Harper's spokesman tweeted about the prank _ "well played."
The Avengers' past victims include former Bloc Quebecois leader Gilles Duceppe, former American vice-presidential candidate Sarah Palin and business tycoon Donald Trump.
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