Mr Ban also called on Russia - a member of the stalled six-party talks on North Korea's nuclear programme - to help bring Pyongyang back to the negotiating table.
The administration of former U.S. President George W. Bush scrapped a nuclear-freeze agreement with North Korea in 2002 over allegations that Pyongyang abrogated the pact by exploring uranium-enrichment activities.
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The U.S. and other countries, most notably Korea's close neighbor Japan, are deeply worried by the North's long-range ballistic-missile program, which Pyongyang has put on hold but not abandoned.
In Japan, the government convened a national security meeting soon after the test was detected, and later announced additional sanctions against the North, including a widening of entry ban for pro-Pyongyang ethnic Korean residents.
Turning to international news, experts tell Hong Kong's South China Morning Post that Beijing will verify the purpose of any bank accounts linked to North Korean leader Kim Jong-un before taking any action against Pyongyang.
After the talks in Beijing ended, it offered to provide North Korea with aid for its bankrupt economy provided Pyongyang scrapped its nuclear-arms programme.
South Korean President Lee Myung-bak has refused aid, trade and talks with North Korea until Pyongyang apologizes for its alleged sinking of a South Korean navy ship and shelling of Yeonpyong Island.
Rep. Bill Richardson, D-New Mexico, plans to arrive in North Korea on Sunday to meet with the Pyongyang government on issues including peace with South Korea, missing American soldiers, and the food shortage in North Korea.
While Japan and South Korea indicated they might support a regional initiative to sway Pyongyang, China -- a key ally and aid donor to the North -- appeared to remain unconvinced.
The project has also attracted Andrei Lankov, a Seoul-based historian of North Korea who grew up in the Soviet Union and went to college in Pyongyang, the North Korean capital.
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Some of Mr Bush's officials are known to believe that the opening up of North Korea in recent months has been via a one-way street, with all the concessions going to Pyongyang.
For instance, when the US reacted to North Korea's 2006 nuclear and ICBM tests by reinstating the six-party talks in the hopes of appeasing Pyongyang, Iran learned that by exhibiting an interest in engaging the US on its uranium enrichment program it could gain valuable time.
In Washington, President Barack Obama's spokesman that "despite the harsh rhetoric we are hearing from Pyongyang, we are not seeing changes to the North Korean military posture, such as large-scale mobilisations and positioning of forces".
The US and North Korea's neighbours fear Pyongyang's ultimate goal is to put a nuclear warhead on a long-range missile that could target the west coast of the US, but it is not believed to have mastered the technology yet.
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