Early on Monday in European trading, the U.S. dollar rose after a positive jobs data spurred traders to price in the Federal Reserve's continued hawkish posture.

The dollar index that gauges the greenback versus its major pairs added 0.2% at 104.200 moving close to the 3 months-high.

A strong labor market and a stronger-than-expected reading on the Federal Reserve's favoured inflation index from earlier in May suggested that the U.S. central bank would keep interest rates higher for longer. As a result, the dollar has risen as a result of the release of the unexpectedly strong U.S. jobs data. This has caused U.S. Treasury yields to soar.

As a result of Congress's acceptance of a debt ceiling agreement last week that prevents a U.S. default, there are growing expectations that the Fed will raise interest rates when it meets the following week.

EUR/USD slipped 0.2% to 1.0692, extending the 0.5% decline from the earlier day following a minor reduction in projections for future ECB tightening following last week's lower-than-expected eurozone CPI.

GBP/USD dipped 0.4% to 1.2407, prior to the release of May's services PMI data, which is anticipated to demonstrate the continued strength of this sector of the U.K. economy.

USD/JPY edged up by, 0.3% to 140.38, after the U.S. debt ceiling bill was passed the demand for safe havens decreased, which pushed the yen to decline.