In the incident, captured on camera, a man with long black hair rushed up to the Prime Minister as he was walking to his car with his security entourage.
Some security staff bundled the man to the ground, while others hurried Cameron into his his waiting car.
It was unclear from the footage, whether the man made physical contact with the prime minister.
Chief Inspector Derek Hughes of West Yorkshire police said: "Around midday today, a 28-year-old local man was briefly arrested after he came close to the prime minster's group, who had just left the civic hall in Leeds."
It is understood the man claimed he was jogging when he apparently ran too close to the prime minister, and as far as the police are concerned had done nothing wrong, The Guardian reported.
The incident comes a week after the biggest security breach in the House of Commons for 10 years, when a protester threw a large bag of marbles at a protective screen during Prime Minister's Questions and was arrested by police.
The man stood up and shouted towards the end of last week's Prime Minister's Questions, while the marbles are understood to have damaged the glass screen in the gallery.
Ten years ago Tony Blair, the then Prime Minister, was hit by purple powder thrown from the gallery.
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