Banks offered RON1.31 billion, central bank data showed.
At the most recent similar auction on May 26, the ministry sold RON800 million in one-year paper at an average yield of 2.49%.
Romania plans to sell state treasuries worth RON3.71 billion in June, slightly up from RON3.48 billion raised a month earlier.
So far in 2014, the country sold RON19.42 billion in leu-denominated notes and EUR678.7 million at three euro-denominated auctions on the local market.
The ministry also tapped international markets for $2 billion at a two-part U.S. dollar bond issue in January, and raised EUR1.25 billion in a ten-year Eurobond sale in April. (EUR1=RON4.3964)