Bond prices rose early Thursday as investors saw some pockets of weakness in the report. While payrolls grew overall, wage growth stalled and many people gave up looking for work.
U.S.-listed shares of BP rose 4 percent after the company reached an $18.7 billion settlement with several states to resolve litigation over the 2010 Gulf of Mexico oil spill.
The Dow Jones industrial average rose 50 points, or 0.3 percent, to 17,806.
The Standard & Poor's 500 index gained four points, or 0.2 percent, to 2,081. The Nasdaq composite climbed five points, or 0.1 percent, to 5,018.
The yield on the benchmark 10-year Treasury note fell to 2.37 percent.