The spokesman, Lu Kang, said Beijing complies with UN Security Council resolutions. The council has told member countries to ban most activity abroad by North Korea's banks in response to its nuclear and missile tests.
Asked at a regular briefing about Trump's comment, Lu said, "As far as I know, what you have mentioned just now is not consistent with the facts."
China wants to stop North Korea's nuclear and missile development but has warned against pushing the government of Kim Jong Un so hard it collapses, or hurting ordinary North Koreans.
China accounts for about 90 per cent of North Korea's foreign trade. Beijing has cut off imports of coal, iron ore, seafood and other goods in line with UN sanctions.
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Trump praised China yesterday for what he said was instructions to its banks to cut off business with North Korea. He said the action "was a somewhat unexpected move and we appreciate it."
The Chinese central bank would not take questions by phone and did not immediately respond to a faxed request for comment.
Also yesterday, Trump issued an executive order expanding the Treasury Department's ability to target anyone conducting significant trade in goods, services or technology with North Korea and to ban them from the US financial system.
It imposes a 180-day ban on vessels and aircraft that have visited North Korea from visiting the US.
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