Marvin Loh, senior global markets strategist at BNY Mellon in Boston, pointed out that hourly earnings' 2.5 percent gain from a year earlier were "disappointing," with growth slower than at the start of the year and mostly stagnant over the past several months.
But Allianz's Ripley said tighter labor markets with the economy headed toward full employment should drive further wage increases.
The dollar initially weakened to 113.54 yen following the jobs report from 113.74 yen minutes before the data's release, as investors focused mostly on the inflation implications of the average earnings growth. It was last at 113.88, up 0.60 percent.
The euro, on the other hand, fell to around $1.1403, from $1.1411 ahead of the jobs report, and was last at $1.14, down 0.19 percent. That pushed the dollar index up 0.21 percent at 96.00.
Sterling, meanwhile, fell to a more than one-week low of $1.2871 before edging up 0.01 percent to $1.289.