About 40 minutes into trade, the Dow stood at 17,050.80, up 74.56 points (0.44 per cent), while the S&P 500 gained 7.01 (0.36 per cent) to 1,981.63.
Both the Dow and S&P 500 closed at records for the second day in a row yesterday.
The tech-rich Nasdaq Composite Index added 16.37 (0.37 per cent) at 4,474.10.
The Labour Department reported the unemployment rate fell to 6.1 per cent in June as the economy added 288,000 jobs; jobs growth figures were revised upward for the two previous months.
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O'Hare said some equity investors are anxious the strong headline numbers in the labour report "could stir the Fed to raise the fed funds rate a bit sooner than expected."
The yield on the 10-year US Treasury bond jumped to 2.68 per cent today from 2.63 per cent yesterday, suggesting bond investors share that view. The 30-year yield climbed to 3.50 per cent from 3.47 per cent. Bond yields and prices move inversely.
Banking stocks were winners in early trade with Bank of America (+1.8 per cent), Citigroup (+1.2 per cent) and Dow component JPMorgan Chase (+0.7 per cent) all gaining.
Yoga attire maker Lululemon advanced 4.0 per cent after the Wall Street Journal reported that founder Dennis "Chip" Wilson was reaching out to private-equity firms with an eye toward taking the company private.