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The Dow Jones Industrial Average added 2.82 (0.02%) at 16 945.92.
The broad-based S&P 500 slipped a scant 0.48 of a point (0.02%) to 1 950.79, while the tech-rich Nasdaq Composite Index advanced 1.75 (0.04%) to 4 338.00.
Analysts said Tuesday's trade amounted to a pause from the recent rally, with little fresh economic data on offer.
"It was an unremarkable day when we were catalyst-light," said Art Hogan, chief market strategist at Wunderlich Securities.
US online giant eBay lost 2.7% on news that PayPal president David Marcus would step down and take a senior post with Facebook. Facebook advanced 4.6%.
Struggling retailer Radio Shack slumped 10.4% after reporting that it lost $98.3m in the first quarter on sales that were 13.2% lower than the year-ago level. The company cited "an industry-wide decline in consumer electronics and a soft mobility market".
Allergan rejected a $53.5bn takeover bid from Canadian firm Valeant Pharmaceuticals International, saying newest offer still "substantially undervalues the company". Allergan fell 0.7%, while Valeant dropped 0.9%.
Electronics retailer Best Buy gained 2.4% after boosting its dividend by 12%.
Women's retailer Chico's FAS jumped 7.6% on a report that the company is considering a sale to private equity groups.
Achillon Pharmaceuticals shot up 83.3% following its announcement that the US Food and Drug Administration would permit trials of its ACH-3422 treatment on patients with hepatitis C.
Bond prices fell. The yield on the 10-year US Treasury rose to 2.64% from 2.61% on Monday, while the 30-year increased to 3.47% from 3.45%. Bond prices and yields move inversely.
