The Standard & Poor's 500 index slipped 0.48 of point, or 0.02 percent, to close at 1,950.79 on a quiet day for trading. The most widely used benchmark for mutual funds closed at an all-time high on Monday, its fourth record high in a row.
Six industry groups in the S&P 500 fell and four rose Tuesday, though none moved by more than 0.3 percent.
The Dow Jones industrial average rose 2.82 points, or 0.02 percent, to 16,945.92, while the Nasdaq picked up 1.75 points, or 0.04 percent, to 4,338.
After slumping earlier this year, the stock market has been on a slow and steady climb since April. In recent weeks, a number of encouraging economic reports have helped push the S&P 500 to a series of record highs and left the index up 5.5 percent for the year. Some analysts argue that this success rests on shaky ground.
"I've never seen a rally that has been so hated and mistrusted before," said Dan Veru, chief investment officer at Palisade Capital Management. "People ask me, 'Why is the stock market up? When should I bail out before the next crash?'"
Veru said one reason for the mistrust is that most people don't feel like the economy is strong enough.
"It's slow but improving and if you're a stock investor, that implies higher corporate profits and, eventually, higher stock prices," he said.
Before the market opened Tuesday, RadioShack posted a deeper quarterly loss than analysts had expected. Sales fell as the retailer tries to remake its image. RadioShack dropped 16 cents, or 10 percent, to $1.38.
MetLife announced plans to buy its own shares, aiming to spend up to $1 billion. The news sent MetLife up 39 cents, or 0.7 percent, to $55.05.
More evidence of an improving economy came Tuesday when the government reported that wholesalers added to their stockpiles of goods in April, a move that suggests they anticipate stronger growth. A separate report showed that the number of job openings climbed to 4.5 million in April, the highest figure since September 2007. The increase could be a hint of stronger hiring in the months ahead.
"The labor market recovery looks for real," Chris Rupkey, chief financial economist at the Bank of Tokyo-Mitsubishi, wrote in a note to clients. "The economy is better than you think."
In the market for U.S. government bonds, the yield on the 10-year Treasury inched up to 2.64 percent from 2.61 percent late Monday. Yields rise when bond prices fall. The price of oil fell 6 cents to settle at $104.35 a barrel.
Among other companies in the news:
After rising to $165.48 in the morning, Allergan's stock went into reverse and lost $1.06 cents, or 0.6 percent, to $163.09. The company rejected a buyout offer from Valeant Pharmaceuticals and Bill Ackman's Pershing Square Capital Management, saying the $53 billion bid undervalues the maker of Botox.
Best Buy's stock rose 69 cents, or 2 percent, to $29.49 after the retailer said it was going to raise its quarterly dividend by two cents to 19 cents a share. The move comes a month after Best Buy reported its highest quarterly profit in more than three years.