The Dow Jones industrial average rose 23.7 points, or 0.12 percent, to 19,121.6, while the S&P 500 gained 2.94 points, or 0.13 percent, to 2,204.66.
The Nasdaq Composite added 11.11 points, or 0.21 percent, to end at 5,379.92, after hitting a record intraday high.
US stocks had their worst performance in nearly a month on Monday after hitting record highs last week.
The S&P 500 posted 28 new 52-week highs and no new lows; the Nasdaq Composite recorded 177 new highs and 29 new lows.
About 6.7 billion shares changed hands on US exchanges, compared with the 7.8 billion daily average for the past 20 trading days, according to Thomson Reuters data.
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