By Eric Morath 

WASHINGTON--Americans paid more for rent, groceries and gasoline in June, pushing a broad measure of annual consumer inflation into positive territory for the first time in 2015.

The consumer-price index, which reflects what Americans pay for everything from clothes to computers, rose a seasonally adjusted 0.3% in June from a month earlier, the Labor Department said Friday.

Prices rose 0.1% compared with a year earlier. Consumer costs were unchanged in May and had fallen 0.2% in April, when compared to a year earlier. The last annual increase came in December.

"Inflation is perking up," said Gregory Daco, economist at Oxford Economics. Price increases should continue in the coming months due to "stronger domestic activity and reduced pass-through from the stronger dollar."

When excluding volatile energy and food categories, core prices were up 0.2% last month and 1.8% from a year earlier.

Food prices, up 0.3% in June, were particularly hard to swallow for breakfast lovers. The widespread outbreak of avian influenza caused egg prices to jump 18.3% last month, the biggest increase since August 1973. And bacon prices rose 1.5% last month, the largest increase in a year.

Prices for shelter, which account for a third of the overall index, rose 0.3% last month and are up 3% from a year earlier.

There is a limited supply of rental properties in comparison to strong job growth and an increased number of Americans establishing households, said Mike Schall, chief executive of West Coast apartment owner Essex Property Trust Inc. "That's a very favorable relationship for us and has allowed us to grow rents pretty aggressively," he told investors last month.

A steep fall in energy prices had driven down the inflation reading since the middle of last year, but that effect is beginning to abate. Gasoline prices were up 3.4% on a seasonally adjusted basis in June. Still, they remain 23.3% below year-earlier levels.

Thursday's report did show declining prices for many goods that often are imported. From a year earlier, apparel prices are down 1.8%, home-furnishing costs declined 1.3% and toy prices plunged 6.2%. A stronger dollar has made the price of foreign goods relatively more affordable.

Inflation readings returning back to positive territory could reassure Federal Reserve policy makers, as they contemplate raising short-term interest rates, which have been near zero since December 2008. Central bank officials have indicated they could start lifting rates as early as September.

Low inflation reflects "influences that are likely to be transitory, particularly the earlier steep declines in oil prices and in the prices of non-energy imported goods," Fed Chairwoman Janet Yellen told members of Congress this week.

If the economy advances as central bankers anticipate "that will warrant gradual increases in the federal-funds rate as the headwinds that still restrain real activity continue to diminish and inflation rises."

The Fed's preferred inflation gauge, the price index for personal consumption expenditures, has undershot a 2% target for three years. The measure increased 0.2% in May from a year earlier. Historically, the CPI measure has run ahead of the PCE index, but the two indicators have swapped positions so far this year. The firmer CPI reading could suggest a corresponding bump to the Fed's preferred gauge.

"Inflation momentum will be welcomed news at the Fed," said TD Securities economist Millan Mulraine. "This report adds to the case for a September hike."

Write to Eric Morath at eric.morath@wsj.com

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