The presidents of Russia and Ukraine agreed on a roadmap two weeks ago to settle Kiev's overall $1.5 billion debt for Russian gas supplies in 2007 and 2008.
"Ukraine's debt as of January 1, 2008 has been paid off," Turchinov told a Cabinet meeting.
Ukraine's national oil and gas company Naftogaz has transferred the payment to the import monopoly UkrGazEnergo, its joint venture with Swiss RosUkrEnergo, which holds a monopoly on natural gas exports to Ukraine.
UkrGazEnergo is now to transfer the money to RosUkrEnergo, of which Gazprom controls 50%, with the other half controlled by two private individuals.
Gazprom warned on Tuesday that it would reduce natural gas supplies to Ukraine by 25% on March 3 at 7:00 a.m. GMT, if problems, primarily debts, were not settled.
Ukraine's Prime Minister Yulia Tymoshenko was expected make an emergency report to Ukrainian President Viktor Yushchenko earlier on Wednesday over Russia's ultimatum, Ukrainian ICTV said.