Eagle-eyed viewers caught a glimpse of a picture of the prince with a penis drawn on his head on Thursday morning.
The image flashed up during a music video for a song titled I Could Have Married Kate by comedy singing group Barbershopera.
Several viewers tweeted a screengrab of the image, shown during the BBC's breakfast television programme.
The BBC said "the material was provided by Barbershopera but we failed to spot the offending material within it. We apologise for this."
Watch Barbershopera's I Could Have Married Kate music video here:
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