The protesters burnt tyres and raised anti-government slogans, police said.
"We are not thinking of lifting of curfew in Kishtwar district. The situation in Jammu will be reviewed later today," Divisional Commissioner, Jammu region, Shantmanu told PTI.
"Curfew has been relaxed in several towns in Jammu region for different periods. The situation is under control. There are no reports of any major untoward incident from anywhere during past 24 hours," he said.
Curfew was relaxed between two to six hours in Samba, Udhampur, Reasi, Billawar, Bani, Basholi, Kathua and Sunderbani areas, police officials said, adding that no curfew relaxation was given in Jammu, Kishtwar, Bhaderwah, Prem Nagar areas.
Meanwhile, Amarnath yatra resumed on Tuesday from Jammu after three days of suspension with a fresh batch of 225 pilgrims leaving for cave shrine in south Kashmir Himalayas amid tight security.
Ten persons including an Assistant Superintendent of Police were injured in clashes on Monday with protestors in Kishtwar district where 11 arrests were made in connection with Friday's communal strife.
"111 persons have been arrested in Jammu in connection with violent incidents and protests during past few days," Principal Secretary (Home), Suresh Kumar told reporters last night.
Three persons were killed and a total of 68 shops, 7 hotels and 35 vehicles damaged during the communal violence in in Kishtwar district.
J&K Chief Minister Omar Abdullah said the state government has decided to order a judicial inquiry into the Kishtwar clashes.