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"As security men were carrying out their duty and confronting a group attempting acts of tumult and sabotage, one of those involved was injured in the head, and his brother immediately started driving at full speed and running over officers," the channel quoted a police official as saying.
The television showed footage of a police vehicle and a saloon car, both damaged, and showed injured men being treated at a hospital.
At least 29 people, all but six of them Shia, have been killed since February when protests by majority Shia' in the Sunni ruled Gulf Arab kingdom started. The unrest was inspired by Arab world revolts that ousted rulers in Egypt and Tunisia.