DOHA, Qatar—Venus Williams rallied to win the WTA’s Sony Ericsson Championships for the first time, defeating Vera Zvonareva 6-7 (5), 6-0, 6-2 Sunday at the season-ending event.

The Wimbledon champion took command in the last two sets with powerful serving, smashes and aggressive groundstrokes against her Russian opponent.

“I’m so excited,” Williams said. “That was a hard-fought match, every point, right down to the end.”

Williams won $1.34 million at the event, which for the first time offered the same prize money as the men at the ATP’s season-ending Maste...

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