By Min Zeng 

Government-bond yields slid to fresh lows, reflecting growing investor unease over signs of a deepening slowdown in Europe.

European industrial-production data showed a bigger-than-expected decline in August, and an index of economic sentiment in Germany turned negative for the first time since late 2012. The U.K. reported that inflation in September slowed to the lowest level since 2009.

The yield on the 10-year U.S. Treasury note fell to 2.206%, the lowest closing level since June 2013. The 30-year bond's yield fell to 2.957%, the first close below 3% in 17 months. The yield on the 10-year German government bond settled at a record low of 0.837%, according to Tradeweb. Yields fall as prices rise.

Tuesday's gains extend an unexpected yearlong rally in safe government bonds that has intensified this month, underscoring ebbing hopes for a stronger global economy. The retreat of global growth expectations has sent market-based gauges of inflation expectations into free fall and sparked a collapse in global energy prices, creating ripples through the stock market.

U.S. bond markets were closed on Monday for a federal holiday, and traders and analysts said Tuesday's gains reflected in part bond investors catching up to Monday's decline in stocks.

Christopher Sullivan, who oversees $2.4 billion as chief investment officer at the United Nations Federal Credit Union, said he bought Treasury bonds last week. He is concerned that weaker growth in Europe will sap demand for U.S. exports.

Federal Reserve officials have become more concerned about weak growth overseas and the impact of a strengthening U.S. dollar on the domestic economy, according to minutes of the Fed's September policy meeting released last week. The stronger U.S. dollar, by reducing the cost of imported goods and services, could help hold U.S. inflation below the Fed's 2% objective. Fed staff also cut their projection for medium-term growth in part due to these concerns.

"We are getting increasing comments from Fed officials about domestic policy being impacted by overseas events," said Mary Ann Hurley, vice president of trading in Seattle at D.A. Davidson & Co.

Bond traders and investors have dialed back expectations for the timing of the first interest-rate increase from both the Fed and the Bank of England. Some investors now believe policy makers may wait until the second half of 2015, if not longer, to raise short-term interest rates.

Few investors expect the U.S. to slip into deflation, a cycle in which falling consumer prices lead to spending reductions and declining economic activity. Even in Europe, officials said the risks of deflation are still limited.

But an inflation gauge closely watched by European Central Bank President Mario Draghi fell Tuesday to the lowest in at least a decade. The five-year/five-year inflation swap rate, which measures investors' expectations for inflation in the eurozone over the course of five years starting five years from now, fell to 1.77%, according David Keeble, global head of interest-rates strategy at Crédit Agricole in New York. It marks the lowest level since the bank started tracking the data in 2004.

In the U.S., both the five-year and 10-year break-even rates have fallen below the Fed's 2% inflation target. Tuesday, the 10-year break-even rate, or the yield spread between a 10-year Treasury inflation-protected security and a 10-year Treasury note, fell about 0.05 percentage point to 1.908 percentage points. That suggests investors expect the U.S. inflation rate will average 1.908% within a decade.

The recent rally in bonds has compelled many analysts to lower their rate forecasts. Bank of America Merrill Lynch became the latest to do so Friday, cutting its year-end call on the 10-year yield to 2.75% from the 3.1% earlier predicted. At the start of the year, the bank's forecast was 3.75%. Goldman Sachs Group Inc. now expects 3%, down from 3.25% predicted earlier this year. J.P. Morgan Chase & Co. expects 2.7%, down from 3.65% at the start of the year.

John Stopford, co-head of multi-asset at Investec Asset Management, which manages $123 billion in global assets, said he has bought Treasury bonds over the past two weeks but still expects bond yields to rise, thanks to U.S. growth.

Write to Min Zeng at min.zeng@wsj.com

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