MSCI's broadest index of Asia-Pacific shares outside Japan advanced 0.15 percent while Japan's Nikkei rose 0.5 percent.
Australian stocks were up 0.4 percent and South Korea's KOSPI added 0.2 percent.
On Friday, Wall Street closed higher after US jobs growth beat forecasts. However, a lag in wage increases led investors to bet wage data would limit the extent of the Federal Reserve's hawkishness.
The Nasdaq led gains with a 1 percent jump, while the S&P 500 added 0.6 percent and the Dow Jones Industrial Average rose 0.4 percent.
"Strong headline growth, amid poor wage growth, is seemingly a perfect storm for equities," Chris Weston, chief market strategist at IG in Melbourne, wrote in a note.
"Looking ahead, traders will continue to watch fixed income like a hawk for further knock-on effects into foreign exchange and equities," particularly with speeches by Fed chair Janet Yellen and governor Lael Brainard due this week, Weston added.
The 10-year U.S. Treasury yield hit a two-month high of 2.398 percent on Friday.
The dollar inched up 0.1 percent to 113.98 yen early on Monday, extending Friday's 0.6 percent jump on the jobs data.
The dollar index, which climbed 0.2 percent on Friday, was little changed at 96.01 on Monday.
The euro was marginally lower at $1.14015 on Monday, extending Friday's 0.1 percent decline.
The Group of 20 meeting in Hamburg over the weekend didn't have much impact on markets on Monday.
At the meeting, the world's leading economies broke with the US on climate policy and US President Donald Trump and his Chinese counterpart Xi Jinping agreed to work together on North Korea's nuclear threat and bilateral trade. Trump also discussed forming a cyber security unit to guard against election hacking with Russian President Vladimir Putin
In commodities markets, oil crept higher early on Monday after sliding on Friday on a report showing US crude production rose last week, just as OPEC exports hit a 2017 high, rekindling concerns about a supply glut.
US oil rose 0.6 percent to $44.51 a barrel on Monday, making up some of Friday's 2.8 percent loss.
Global benchmark Brent advanced 0.6 percent to $47.01, following Friday's 2.9 percent slide.
Gold was steady at $1,212.56, close to the four-month low touched on Friday as the dollar surged.
source: news.abs-cbn.com
