American employers extended an impressive run of hiring in May, even as policymakers took steps to cool the economy in an effort to ease high inflation.

The Labor Department reported Friday that employers added 390,000 jobs, the 17th straight monthly gain. The unemployment rate was 3.6 percent for the third straight month, a touch away from a half-century low.

At the same time, the labor force grew by 330,000 people, and the share of adults employed or looking for work continued to edge closer to prepandemic levels.

The data signaled that the Federal Reserve’s initial moves to dial back its monetary support for the economy were — at least so far — not constraining business activity so much that hiring was feeling a pinch.

After the strong rebound from the depths of the coronavirus lockdowns — all but 800,000 of the 22 million jobs that were lost have been recovered — the Fed has shifted its emphasis from maximum employment to its other mandate: price stability. The challenge is to apply its primary tool, a steady series of interest-rate increases, without inflicting a recession.

“I think we’re on sort of what looks like a glide path right now, and that’s good — nothing’s broken,” said Guy Berger, the principal economist at the career-focused social network LinkedIn. “But keep fast-forwarding it a year and the question marks are still big.”

The closely watched indicators include the impact on wages, which have been increasing at a pace not seen in decades, though not enough to keep up with inflation over the past year. The Fed is worried that rising labor costs will be passed along to consumers.

Wages kept rising across industries.

Percent change in average hourly earnings for nonmanagers since January 2019

Data is seasonally adjusted. Not adjusted for inflation.

“It’s moderating, but it’s not moderating to a level, I think, where it’s consistent with the Fed’s inflation goals,” said Michael Feroli, chief U.S. economist at J.P. Morgan, said of wage growth. He said the Fed would probably want wages to cool toward an annualized 3.5 percent pace, at the higher end, a rate that officials view as aligned with 2 percent inflation.

President Biden gave a nuanced celebration of the jobs data in remarks on Friday, emphasizing recent gains while arguing that a slowdown would be welcome, allowing inflation to ease.

“The point is this: We’ve laid an economic foundation that’s historically strong,” Mr. Biden said. “Now we’re moving forward to a new moment, where we can build on that foundation, build a future of stable, steady growth so that we can bring down inflation without sacrificing all of the historic gains that we have made.”

Stocks declined on Friday and bond yields rose as investors evidently read the report as reinforcing the Fed’s muscular efforts, which risk denting economic growth. “The better the data, the more difficult that a pause or reduced pace of tightening later this year becomes,” analysts at TD Securities wrote in a research report published after the jobs numbers were released.

The continued job gains are among many indications of a vibrant economy. Reports from the nation’s largest banks show checking accounts are still above 2019 levels for nearly all income groups. New bankruptcies and debt-collection proceedings are both at their lowest levels since tracking began in 1999.

Yet those encouraging trends have been at odds with the generally sour national mood, dominated by inflation concerns. U.S. consumer sentiment declined in early May to the lowest since 2011, according to the University of Michigan

The unemployment rate stayed flat in MaThe share of people who have looked for work in the past four weeks or are temporarily laid off

And with a potential change in the economic cycle, economic security is not evenly distributed among households. If tightening financial conditions prompt businesses to downsize, research shows that “last hired” workers will typically be the “first fired” — and that Black and Hispanic workers and those with less education are particularly vulnerable.

But a broad range of economists and policymakers, including Jerome H. Powell, the Fed chair, stress that more modest wage gains when paired with milder prices will be more sustainable for all workers, who are also consumers, in the long run.

“The Fed at this point is saying, look, we’d rather head off inflationary pressures, because if we have to slam on the brakes, then we’re going to cause a recession and it will be worse for these underserved communities,” said Gerald Cohen, an economist at the Kenan-Flagler Business School at the University of North Carolina. “It’s a challenge, because they want to pull people into the labor force. They know the way to do that is through higher wages. But higher wages can also breed higher inflation.”

For employers, too, the prospective change in the economic picture may not be spread evenly.

“Businesses with high profitability, easy access to capital, the capacity to automate and pricing power are still eager to hire,” said Bill Adams, chief economist at Comerica Bank, a large commercial bank based in Texas. “But businesses that are seeing their margins squeezed by rising costs, like hospitality, or that are seeing demand soften, like retail, are pulling job postings as their outlook softens. And competition for workers is squeezing lower-paying employers out of the job market.”

Richard Canny, the president of Ultimation in Roseville, Mich., is feeling that squeeze. His company’s conveyor belts and simple robots for use in warehousing and distribution sold briskly during the tight labor market, as e-commerce companies sought to make each worker more productive.

With 45 employees, Mr. Canny said, Ultimation has managed to stay at full staffing by raising wages — to $17 to $18 an hour to start, from around $13 to $15 — as well as offering perks like parental leave and partial tuition reimbursement. His white-collar employees have retained the flexibility to work from home. All that, he said, is necessary to compete with big employers in the area like Amazon.

“Small companies historically haven’t had to offer the same kind of benefits as the large ones, but I think that’s changed since Covid,” Mr. Canny said.