The rally was taken out by activists of the Hindu Yuva Vahini and Bajrang Dal in the wake of the killing of a youth, Chandan Gupta, in Kasganj last week.
Tilhar police station in-charge Razi Ahmed said, "Workers of Hindu Yuva Vahini and Bajrang Dal were today taking out a motorcycle rally, when there was a dispute between two of them over money."
One of the workers hurled a stone while another was beaten up allegedly by fellow volunteers, he said.
"In the stone-pelting, Brijesh Kumar, Pradyuman and Govind were injured," Mr Ahmed said.
Senior police officer Subhash Chandra Shakya said a case was filed and two people identified as Brijesh Kumar and Govind were arrested.