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The Dow Jones Industrial Average added 149.55 points (1.19 percent) to 12,733.72 in opening trade.
The broader S&P 500 gained 17.41 (1.30 percent) at 1,352.51, while the tech-heavy Nasdaq Composite rose 34.29 points (1.22 percent) to 2,849.01.
The Labor Department reported that 244,000 nonfarm jobs were added to the US economy, with a strong surge in hiring in the services sector.
But the jobless rate -- based on a separate survey -- nevertheless climbed to 9.0 percent in April from 8.8 percent in March, underscoring the political challenge to the administration of President Barack Obama from still-slow economic growth.