The incident happened late Monday aboard a Boeing 757 jetliner heading to the Indian resort town Goa, RIA Novosti reported Tuesday.
"The plane landed at 10 p.m. due to an unruly drunken passenger on board," Angelika Barinova, a spokesperson for the Ministry of Emergency Situations, said.
"He attacked female flight attendants and kicked them ... He bit them until they bled, he bit his friends and his girlfriend, and was always shouting," one of the passengers told the Russian NTV channel.
The man was restrained by another male passenger until the plane landed in southern Russia. The suspect was handed over to police and charged with disorderly conduct and public intoxication.
Other passengers spent the night in hotels and the flight resumed Tuesday.