The clash broke out as two-wheelers from both sides were making their way from the BJP party office on Central Avenue to Swami Vivekananda's house in Hedua.
Yuva Morcha supporters were part of an eight-day bike rally which started from Contai, in the southern part of the state, to Coochbehar in the north where it is scheduled to end on January 18.
While, TMC workers took out a motor-bike rally to mark Swami Vivenkananda's on his 156th birth anniversary.
The incident took place around noon, leaving 14 BJP supporters injured.
Police said that a huge police contingent was rushed to the spot and the situation was brought under control.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)