Three-month paper sold for a negative yield of 0.515 percent, down from the minus 0.508 percent at the most recent auction two weeks ago.
Investors also paid, rather than received, interest on one-year paper, with yields falling to minus 0.493 percent from the negative 0.490 percent on May 10.
The AA-rated sovereign starting issuing short-term debt at negative yields in mid-2014.
The 1.895 billion euros raised is in the middle of the 1.7 to 2.1 billion euro range the debt agency had set for this auction.