"We suspect they could fall further in the near term as import volumes, both from New Zealand and other suppliers, adjust."
China accounted for 72 per cent of New Zealand's $2.7 billion of log exports in the year ended May, ANZ said. Beef prices rose 2 per cent last month and lamb 0.5 per cent.
"Meat prices have risen to a 14 and a half year high and seafood prices remain at an all-time high," said ANZ economist Steve Edwards.
The 6 per cent fall in apple prices was a typical seasonal pattern for this time of year, Edwards said.
Aluminium prices rose 5 per cent, to a 14-month high.
Meanwhile, HSBC Bank reported a 2.6 per cent rise in oil prices last month to be 8.5 per cent higher than a year ago, reflecting concerns about Iraq. New Zealand spent $8 billion on imports of crude oil and petroleum product in the year ended May, 16 per cent of all goods imports.
See the full results from ANZ's latest Commodity Price Index here: