Home values in the Boston area increased by 6.7 percent in March compared with the same time last year, according to data released Tuesday by the S&P/Case-Shiller Home Price Indices, another indicator of a rejuvenated housing market.

Nationwide, home prices increased 10.9 percent compared with March 2012, according to Case-Shiller, and values increased in all 20 metro areas measured by the firm. Because Case-Shiller measures repeat homes sales, it is considered one of the best markers of the nation’s housing health.

“Other housing market data reported in recent weeks confirm these strong trends: housing starts and permits, sales of new home and existing homes continue to trend higher,” said David M. Blitzer, chair of the index committee at S&P Dow Jones Indices.

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The increase in the Boston-area was less dramatic than in other regions that were harder hit by the housing downfall. Values in Phoenix, for example, rose 22.5 percent in March and values in San Francisco climbed 22.2 percent. On the low end of the scale, property values in the New York City region increased by only 2.6 percent

Between 2005 and 2009, home prices in the Boston region dropped about 20 percent, but the market has generally been more stable than the nation as a whole. Since 2009, area home values have fluctuated and now are less than 15 percent below their September 2005 peak. Nationwide, home values fell about 35 percent from the top of the market, according to Case-Shiller.

The relatively low number of homes for sale and a slowdown in foreclosures are helping to boost prices here and across the US.

Barry Bluestone, director of the Kitty and Michael Dukakis Center for Urban and Regional Policy at Northeastern University, expects steady but moderate price increases for single-family homes in the Boston area over the next few years, as more people decide to put their homes on the market. Bluestone said he expects prices for multifamily homes and condominiums to rise even faster as more people are drawn to urban living.

“Older baby boomers are going to look to downsize and younger professionals will be less interested in moving into the suburbs and having to put up with long, tedious commutes,” he said.