The tour will begin with a brief stop at Joint Base Elmendorf-Richardson in Alaska, where the US defense secretary will receive briefings on missile defense, his office said.
Two dozen GBI interceptors are deployed in Alaska to deal with the ballistic threat from North Korea in particular.
Hagel will then travel to Singapore to attend the Shangri-La Dialogue, a major annual forum dedicated to the security of the Asia-Pacific region, which runs from May 30 to June 1.
Hagel's fifth trip to the Asia-Pacific "is an important opportunity to build on the momentum we've achieved in strengthening our engagement and our alliances and partnerships in the Pacific region," Kirby said.
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Hagel will then attend a June 3-4 meeting of NATO defense ministers in Brussels.
"He views this as a particularly important meeting, of course, as it is the first since Russia's incursions into Ukraine and the last before September's NATO Summit in Wales," said Kirby.
Hagel will then travel to Romania and from there to France.