Tsurenko, from Kyiv, defeated Estonian Anett Kontaveit (world No. 20) in two sets - 7-5, 6-3, Ukrinform reported.
The game lasted one hour and 32 minutes.
In a semifinal on January 5, Tsurenko will face Naomi Osaka from Japan, who ranks fifth in world tennis rankings.
Tsurenko had already played in the semifinals of the Brisbane tournament in 2013.
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