New York's main oil futures contract, light sweet crude for August delivery, dipped 20 cents to 134.35 dollars a barrel. It lost 2.45 dollars to 134.55 yesterday at the New York Mercantile Exchange.
After five consecutive weeks of decline, US domestic crude stockpiles climbed by 800,000 barrels to 301.8 million, the US Department of Energy said. The consensus forecast was for a drop of 1.1 million barrels.
But analysts said there were still concerns about crude supplies which were supporting prices.
"The (US) report was bearish. However, pricing only pulled back moderately... Simply because of supply-side concerns," said Victor Shum of Purvin and Gertz energy consultancy in Singapore.
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Brent North Sea crude for August fell 25 cents to 134.08 dollars a barrel after sliding 2.13 dollars to settle at 134.33 yesterday in London.
Oil prices have almost doubled over the past year, and hit record highs of close to 140 dollars last week. Shum said the market can expect continued choppiness on a high price level. "The bullish trend in oil remains intact," he said.
Among the main concerns are unrest in major African producer Nigeria, and tensions between Israel and the world's fourth-largest oil producer Iran.
Anglo-Dutch oil giant Shell said Tuesday it had resumed operations in a Nigerian oilfield that had been halted after an attack by militants last week cut output by 200,000 barrels a day.