Windowpanes of at least eight vehicles were damaged in stone pelting, while some activists also received injuries in the scuffle, said police.
The trouble started after Reddy took out a rally "without permission" to the venue of an official programme in Gandhamvarigudem of the district where state Irrigation Minister T Harish Rao was scheduled to take part, police said.
Police immediately intervened and dispersed both the groups and brought the situation under control, Nalgonda District Superintendent of Police N Prakash Reddy, who visited the spot and reviewed the situation, told PTI over phone.
The SP said, "Congress MLA Reddy took the rally near the venue of the event without permission."
Following the scuffle, the MLA and his followers were taken into preventive custody and cases will be registered for rioting and unlawful assembly against the Congress workers, the senior police officer said.
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