The government proposal was passed to the US side through a "relevant channel" yesterday, the North's official KCNA news agency said.
The message called on Washington to help ease tensions on the Korean peninsula by suspending all of this year's joint military exercises in South Korea "and its vicinity".
For its part, North Korea "is ready to take such a responsive step as temporarily suspending the nuclear test over which the US is concerned," it said.
Seoul and Washington insist the drills are defensive in nature, but they are regularly condemned by Pyongyang as provocative rehearsals for invasion.
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The annual exercises habitually raise military tensions between the two Koreas, who have remained technically at war since the 1950-53 Korean War concluded with a ceasefire rather than a peace treaty.
The KCNA report said Pyongyang's proposal was aimed at de- escalating tensions in 2015 which marks the 70th anniversary of the initial division of the Korean peninsula into North and South following the 1945 Allied victory in World War II.
Should Washington require talks to clarify Pyongyang's new proposal, the North "is ready to sit with the US anytime," the agency said.
North Korea has conducted three nuclear tests -- the last in February 2013 and recently threatened a fourth in response to a UN resolution condemning its human rights record.
However, expert analysis of recent commercial satellite images of the North's main underground test site have shown none of the activity associated with a pending detonation.
"It's like they're putting a worm on a line to see if they can get a nibble," said John Delury, a North Korea expert at Yonsei University in Seoul.
"But I don't see the US biting, at least not publicly," he added.
Washington has steadfastly refused to consider any dialogue with Pyongyang until the North shows a tangible commitment to abandoning its entire nuclear weapons programme.
Both Washington and Seoul have cursorily dismissed all previous demands to halt their joint drills.