Both also cleared 2.01 but had failures earlier in the final. "I can't believe that I am the champion," said Kuchina, who won the world indoor title last year.
"It might have looked from the outside that I was calm but in fact my knees were trembling."
Vlasic, world champion in 2007 and 2009, had struggled with injuries and illness for the past three years, including a spell sidelined due to a post-operative infection, and said she lacked confidence coming into Saturday's final.
"I couldn't even sleep today," she said. "My usual afternoon nap was completely ruined because I was so nervous. That had never happened before, so I'm really starting to worry
about myself."
Chicherova, who has become a mother since winning Olympic gold in 2012, said: "I think I will remember this championships for a long time and I can take it as my comeback.
"Maybe some people thought that I am some kind of a Supergirl but I am not. I do not know why but I felt tired during the competition."
(Reporting by Steve Downes, editing by Clare Fallon)
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