The injured jawan was rescued by Army personnel and policemen, officials said. He was taken to a military hospital for treatment.
The jawan, who could not be identified, was beaten by people on the allegation of being a braid chopper, they said.
A video of the incident was being widely circulated on social networking sites.
Army officials did not respond to calls seeking an official version of the incident.
Protests also broke out in several parts of Kashmir, including Srinagar, against the unabated braid chopping attacks with at least half a dozen such alleged incidents reported in the past 24 hours.