The Radio 2 presenter was travelling at 16mph when police with a speeding gun stopped him and warned that the cycling speed limit in the area was 5mph.
Taking to Twitter, Vine shared a video of the incident using the aptly named Vine app.
When I got to the office @BBCRadio2 and said I was radar-gunned at 16mph on my bicycle, producer said: YOU ARE LIVING ON THE EDGE
— Jeremy Vine (@theJeremyVine) November 20, 2014
The presenter also voiced his concerns about the speed limit imposed on cyclists.
.@london_cycling My concern is that if cyclists are forced to travel at walking pace they will return to the roads and mix it with trucks
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— Jeremy Vine (@theJeremyVine) November 20, 2014
Speaking on air later, Vine told fellow presenter Ken Bruce: "I haven't seen a radar gun for a long time so didn't expect one with the digit 16 on it.
"I feel embarrassed and I apologise. I didn't see any signs. I certainly will be cycling as slow as walking pace in future."
