The jobs report on Friday didn't just blow away expectations by adding 255,000 positions, but was strong throughout, the Republican former chief economist of the President's Council of Economic Advisers said.
"We have rarely gotten a report that didn't have some hole, like you get jobs but there's no wage growth, or the labor forces declines and the unemployment goes down for the wrong reason," said Douglas Holtz-Eakin, who served under President George W. Bush.
The Labor Department reported unemployment was unchanged at 4.9 percent in July, while the labor force participation rate ticked up slightly and hourly wages rose by 8 cents, a 2.6 percent annualized gain.
Additionally, productivity was essentially flat, making the report look clean, said Holtz-Eakin, now president of the American Action Forum.
"This is strong across the board. I don't think there's a bad number in here," he told CNBC's "Squawk Box."