The clashes between two communities also claimed the life of a freelance TV journalist on Saturday, reports said.
Eight army columns were moved from Meerut to Muzzafarnagar on Sunday early morning and two more columns have being deployed in Shamli, The Indian Army said in a tweet.
The Uttar Pradesh government has also imposed a curfew in the area after the clashes.
The police said the curfew will continue in the rural areas for a week.
The state has been put on high alert on Sunday and police said about 30 people were arrested in connection with the clashes.
A journalist, who was identified as Rajesh Verma, was among the ten people killed in the clashes in the area.
The freelance journalist was shot dead while he was covering the clashes in the PS Kotwali area of the district, media reports said.
Another photographer was beaten to death in a separate incident.
As many as 40 others were injured in the clashes.
State Chief Minister Akhilesh Yadav appealed for peace in the state and said that people should refrain themselves from paying attention to the rumours and exercise restraint.
"Whosoever has done this will be punished strictly," he said.
The state government has reportedly announced a relief of Rs. 15 lakh to the family of the TV journalist and Rs. 10 lakh to the family of others killed in the clashes.
The seriously injured will be paid Rs. 50,000 each while those who received minor injuries will get Rs. 20,000.
Violence erupted in the Kawal area of Muzaffarnagar on Saturday when members of a community returning from a panchayat meeting in Naglabadhod, clashed with members of another community.
--IBNS (Posted on 08-09-2013)