The estimate for this year's gross domestic product (GDP) growth is down from a forecast of 7.8 per cent in April, and lower than the 7.5 per cent growth recorded in 2012 and 8.3 per cent in 2011.
Regional GDP growth in 2014 and 2015 was forecast at 7.2 per cent for both years with middle-income economies like Indonesia, Malaysia and Thailand also softening. Excluding China, the region is expected to grow 5.2 percent in 2013 and 5.3 per cent in 2014.
However, he added: "If there were to be a sustained deadlock, it could actually be quite damaging also for the East Asian economies.
"For every percentage point growth lost in the United States, we would see about half a percentage point growth lost in East Asia."
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The US impasse has raised fears US lawmakers will not increase the country's borrowing limit before an October 17 deadline, which could lead the government to default on its debts.
In a report, the bank said East Asia is still the fastest growing in the world despite a slowdown in powerhouse China and a softening in places such as Indonesia and Thailand this year.
"East Asia-Pacific continues to be the engine driving the global economy, contributing 40 percent of the world's GDP growth -- more than any other region," said Axel van Trotsenburg, the World Bank's East Asia and Pacific Regional Vice President.
The bank noted that in recent months speculation about the withdrawal of the US Federal Reserve's stimulus programme led to stock market sell-offs and currency depreciation in East Asia, hurting countries with large foreign participation in their financial markets.
"The Federal Reserve's decision to delay (a wind down of the stimulus) stabilised markets for now, giving countries a second opportunity to take measures to lower risks from future volatility," said Bert Hofman, World Bank East Asia and Pacific Chief Economist.