Both Kumar and a second man detained over the same offense later appeared in court, a Delhi Police spokesman added, without giving details of potential charges.
Kumar denied any wrongdoing in a plea for anticipatory bail he sent to a Delhi court last week, which was dismissed.
Delhi Police issued a look-out notice for Kumar after a May 4 brawl outside Delhi’s Chhatrasal Stadium.
Three people were admitted to hospital after the incident and one of them, a former junior national champion, eventually succumbed to his injuries.
Kumar is seen as the face of Indian wrestling even at the age of 37. He won a silver medal in the 2012 Olympics and a bronze in the 2008 Games.
By Amlan Chakraborty