Banks offered RON2.42 billion, central bank data showed.
At the previous similar auction in May, the ministry sold RON800 million of one-year paper at a record low yield of 3.98%.
The ministry plans to sell state treasuries worth RON1.98 billion in August, above the RON1.75 billion raised a month earlier.
So far in 2013, Romania sold RON28.86 billion in leu-denominated notes and EUR1.41 billion at three euro-denominated auctions on the local market. The ministry also tapped international markets for $1.5 billion at a US dollar-bond sale in February. (EUR1=RON4.4201)