U.S. government debt prices ticked higher on Tuesday after President Donald Trump tweeted "our country needs a good 'shutdown' in September to fix mess!"
The yield on benchmark 10-year Treasury notes gave back earlier gains to trade at 2.298 percent. The 30-year bond yield also fell to trade around 2.982 percent. Debt yields move inversely to prices.
On the data front, Tuesday will see U.S. auto sales figures for April released. The number is expected to come in at an annual rate of 17.2 million, compared with March's annual rate of 16.6 million.
However, General Motors announced its sales fell 5.8 percent last month, more than expected. Ford's sales also declined more than expected.
Investors also looked ahead to a Federal Reserve monetary policy announcement.
The Fed is expected to release its decision on interest rates at 2 p.m. EDT on Wednesday, although markets expect the central bank to keep rates on hold this week, according to Reuters polls.
Treasurys
In oil markets, Brent crude traded at around $50.23 a barrel on Tuesday, down 2.50 percent, while U.S. crude was around $47.49 a barrel, down 2.83 percent.