Rasmussen was initially due to complete his four-year term in July 2013 but that was extended by one year to July 2014.
NATO member ambassadors have now decided that he should stay in office until the end of September 2014 "to enable him to prepare and preside" at the summit in south Wales earlier that month, a statement said.
The last summit was held in 2012 in Chicago.
NATO currently plans to maintain a training and assistance mission in Afghanistan post-2014 but its future is in doubt as Afghan President Hamid Karzai is refusing to sign a security pact with Washington on its legal and operational status.
Washington and NATO both say there can be no continued alliance presence in Afghanistan without such a pact.
Rasmussen, 60 and a former Danish prime minister, was appointed for the maximum single NATO term in 2009.
Among names mentioned as possible successors for a post traditionally held by a European are former Italian foreign minister Franco Frattini, as well as Belgian Defence Minister, Pieter de Crem and Polish Foreign Minister Radoslaw Sikorski who was formerly in charge of defence.
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