The fund was established in 2004 to accumulate windfall profits from high oil prices and hold back inflation by neutralizing an influx of petrodollars.
The ministry said 400 billion rubles ($14.8 billion) was converted into foreign currency and transferred to the Federal Treasury's accounts in the Bank of Russia in July in accordance with a government decree on management of Stabilization Fund resources.
On July 26, 140.2 billion ($5.2 billion) in additional funds were transferred to the fund as envisaged in the federal budget.
Deputy Finance Minister Sergei Storchak said earlier that the fund would stand at $72 billion by the end of the year, and that the figure included pre-term repayment of Russia's inherited Soviet debt worth $21.3 billion to the Paris Club of creditor nations.