The European and American teams teed off amid a downpour at 7.45am, before officials called a halt to play on the waterlogged course barely two hours later.
Heavy rain has left many parts of the Twenty Ten course under water, despite the best efforts of the greenkeeping staff.
Europe player Luke Donald said: "If it was an ordinary event we would not even have started.
"It's a shame but there is nothing we can do about it."
His vice-captain, Darren Clarke, said the officials had made the "right call" in halting play, adding: "It's going to be a little while before we're back out here."
An announcement from organisers is scheduled at 1pm, with little chances of a swift resumption.
The current conditions and bleak forecasts for the weekend's weather have heightened speculation the event will overrun.
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