Ivanovic, the tournament's top seed, got off to a quick start against Zvonareva, taking just some 10 minutes to win the first four games against her Russian opponent.
"She beat me a few times quite easy, so I knew I had to be active and sharp from the first moment on to put pressure on her," said Ivanovic, who had split four previous matches against Zvonareva.
Ivanovic, who lost to Maria Sharapova in the Australian Open final, was to face Jankovic in one semi-final yesterday, with the other pitting Russians Sharapova and Svetlana Kuznetsova.
The women's and men's finals are tomorrow.
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