WASHINGTON, July 13 (Reuters) - U.S. consumer prices rose by the most in 13 years in June amid supply constraints and a continued rebound in the costs of travel-related services from pandemic-depressed levels as the economic recovery gathered momentum.

The consumer price index increased 0.9% last month, the largest gain since June 2008, after advancing 0.6% in May, the Labor Department said on Tuesday.

In the 12 months through June, the CPI jumped 5.4%. That was the largest gain since August 2008 and followed a 5.0% increase in the 12 months through May. Excluding the volatile food and energy components, the CPI accelerated 0.9% after increasing 0.7% in May.

The so-called core CPI surged 4.5% on a year-on-year basis, the largest increase since November 1991, after rising 3.8% in May. Annual inflation rates have been boosted by the dropping of last spring's weak readings from the CPI calculation. These so-called base effects are leveling off.

Economists polled by Reuters had forecast the overall CPI would climb 0.5% and the core CPI would rise 0.4%.

COVID-19 vaccinations, low interest rates and nearly $6 trillion in government relief since the pandemic started in the United States in March 2020 are fueling demand, straining the supply chain and raising prices across the economy.

A global semiconductor shortage has undercut motor vehicle production, pushing up prices of used cars and trucks - the major driver of inflation in recent months.

With nearly 160 million Americans immunized, demand for airline travel, hotel and motel accommodation is picking up, also fanning price pressures. Some parts of the United States with low vaccination rates are, however, experiencing a surge in infections from the Delta coronavirus variant, which could slow economic activity. Those fears pushed down U.S. Treasury yields last week.

Though inflation has likely peaked, it is expected to remain elevated through part of 2022, as prices for many travel-related services are still below pre-pandemic levels.

"The pace of economic recovery may slow a little in the months ahead and inflation may ease from recently very elevated levels," said David Kelly, chief global strategist at JPMorgan Funds in New York. "However, the economy still looks set to achieve very complete recovery in the months ahead, with plenty of excess demand to sustain stronger inflation."

Federal Reserve Chair Jerome Powell has repeatedly stated that higher inflation will be transitory, noting that he expected supply chains to normalize and adapt. Treasury Secretary Janet Yellen shares that view.