The incident took place at Patia Chuburi under Tezpur Sadar police station and the cause of the firing was not yet ascertained, Sonitpur Superintendent of Police Sanjukta Parasar said.
Police has rushed to the site and investigation is on, Parasar said, adding that the injured woman, Jinu Das, was admitted at Tezpur Kanaklata Civil hospital.
The local people alleged that the jawans opened fire when a family refused to serve them liquor.