It looks like homebuilders aren't the only ones offering incentives in this housing market—landlords are too, even though the median asking rent is at a near-record high, according to Redfin. 

Last month, the median U.S. asking rent was $2,052, which is just $2 below the record-high set a year earlier, and it's up slightly from the previous month's $2,038. Still, landlords are finding a way to attract renters, whether that's a one-time discount or a few months free per Redfin.   

"While asking rents are near their all-time high, tenants in some parts of the country are finding deals," Redfin's data journalist, Lily Katz, wrote in a report published last week. "With vacancies on the rise, some landlords are doling out one-time discounts to attract renters while maintaining high asking rents on paper."