The clash in Nawada broke out on Friday morning when some men at Gondapur chowk (thoroughfare) noticed that the the idol of a deity was damaged.
However, the situation was soon brought under control, Kumar added.
Last week, the situation became tense when rioters set ablaze more than 20 shops and pelted stones at those participating in a Rama Navami procession through Nawadih Colony.
Communal tension had also erupted in Nawada previous year and in 2013.
Meanwhile, 36 people, including two women, have been arrested in Nalanda district where members of two communities had clashed yesterday while a Ram Navami procession was being taken out in Silao block.
Chief Minister Nitish Kumar has been facing a strong criticism over the continuing communal violence in the state over the past 10 days.
Leader of Opposition in the Bihar Assembly Tejashwi Yadav even blamed RSS chief Mohan Bhagwat for the communal tension, saying he planned the trouble during his recent 14-day visit to the state.
A total of 15 cases have been registered and 212 people have been arrested in connection with the communal violence in Bihar, the police said on Saturday.