DENVER — By nearly any measure, this city is booming. The unemployment rate is below 3 percent. There is so much construction that a local newspaper started a “crane watch” feature. Seemingly every week brings headlines about companies bringing high-paying jobs to the area.

Yet, Denver’s once-soaring housing market has run into turbulence. Sales and construction activity have slowed in recent months. Houses that would once have drawn a frenzy of offers are sitting on the market for days or weeks. Selling prices are rising more slowly, and asking prices are being slashed to attract buyers.

Similar slowdowns have hit New York, Seattle and even San Francisco, cities that until recently ranked among the nation’s hottest housing markets. The specifics vary, but economists, real estate agents and home builders say the core issue is the same: Home buyers are reaching a breaking point after years of breakneck price increases that far exceeded income gains.

“The local economy is still fantastic, all the fundamentals are there, but obviously wages are not keeping pace,” said Steve Danyliw, a Denver realtor. “As the market continues to move up, buyers are being pushed out.”