The North Korean atomic agency said: "A working-level delegation of the IAEA has been invited to visit North Korea as it is confirmed that the process of de-freezing the funds of the DPRK [Democratic People's Republic of Korea] at the Banco Delta Asia (BDA) in Macau has reached its final phase."
Ri asked the IAEA to discuss verifying and monitoring "the suspension of the operations" of Yongbyon under the February 13 six-nation agreement, which included the US, China, Japan, North Korea, Russia, and South Korea.
Yongbyon is thought to be North Korea's only operating reactor.
"This is a good step," said Gordon Johndroe, a spokesman for the National Security Council, at the White House.
He said the participants in the six-nation nuclear talks should now move to fully implement the February agreement and the eventual denuclearisation of the Korean peninsula.
Chun Yung-woo, South Korea's chief nuclear envoy, also welcomed the development as "good news".
He said: "As we watch how the discussions between North Korea and the IAEA proceed, we will start preparations for implementing our own obligations as outlined by the February 13 agreement."
North Korea, which staged its first nuclear test in October, has said repeatedly it would start honouring the February pact as soon as it receives $25m which had been frozen in BDA since 2005 at US instigation.
The US said the funds were held because they were suspected money-laundering and counterfeiting proceeds.
On Thursday, $20m was sent from BDA to the New York Federal Reserve and on to a Russian bank where the North was to collect it.
The US decided to unfreeze funds in March but had problems finding an international bank to handle the transfer.
Christopher Hill, the chief US nuclear envoy, visiting Mongolia, was quoted as saying that further technical problems occurred as funds were sent to the Russian bank.
Hill said the problems would be resolved by Monday and that six-nation nuclear talks could resume in July, he was quoted as saying.