The Dow fell as slides in shares of Visa and those of Microsoft, recently down 2.2 per cent and 1.7 per cent respectively, outweighed gains in shares of Exxon Mobil and those of General Electric, recently up 1.3 per cent and 1.1 per cent respectively.
The VIX, or the Chicago Board Options Exchange Volatility Index which measures expectations of future volatility in stocks, climbed 11.8 per cent to 10.72.
Meanwhile, US Treasuries gained, sending the yield on the 10-year note three basis points lower to 2.218 per cent, according to Bloomberg.
Investors are awaiting a speech by Federal Reserve Chair Janet Yellen, set to speak on Tuesday, following the Federal Open Market Committee's hawkish tone at the end of last week's meeting.
On Monday, New York Fed President William Dudley said he expects inflation will accelerate with "the fading of effects from a number of temporary, idiosyncratic factors," firming up bets the central bank will increase its target interest rate in December.
"I expect inflation will rise and stabilise around the FOMC's 2-percent objective over the medium term," Dudley said in a speech in Syracuse, New York. "In response, the Federal Reserve will likely continue to remove monetary policy accommodation gradually."
In Europe, the Stoxx 600 Index ended the day with a 0.2 per cent advance from the previous close. Germany's DAX Index eked out a 0.02 per cent gain, as advances in shares of Merck and those of Bayer offset a drop in shares of RWE and those of Commerzbank.
The euro weakened after elections in Germany showed worse-than-expected support for Chancellor Angela Merkel's conservatives.
"Investors were expecting a victory for Angela Merkel, but there has been a surprise in the relatively poor performance of the CDU and SPD, who suffered their worst results since 1949," Nick Peters, multi asset portfolio manager at Fidelity International, wrote in a note, Bloomberg reported.
The UK's FTSE 100 Index fell 0.1 per cent, while France's CAC 40 Index declined 0.3 per cent.