The move was announced a year after accusations of politicisation over the previously announced contract and a protracted legal battle resulted in the military starting over in its award process.
The Joint Warfighter Cloud Capability is envisioned to provide access to unclassified, secret and top-secret data to military personnel all over the globe.
It is expected to serve as a backbone for the Pentagon's modern war operations, which will rely heavily on unmanned aircraft and space communications satellites, but will still need a way to quickly get the intelligence from those platforms to troops on the ground.
The contract will be awarded in parts, with a total estimated completion date of June 2028, the Pentagon said on Wednesday.
Competition is intense to snap up big corporate and government cloud contracts - awards to build global computing networks where information is stored, shared and secured over the internet instead of on local computer systems.
The Pentagon's award is seen as one of the most coveted because it is a stamp of approval in a market where ensuring data security is important.
Last July, the Pentagon announced it was cancelling its previous cloud computing award, then named Jedi. At the time, officials said that due to delays in proceeding with the contract, technology had changed to the extent that the old contract, which was awarded to Microsoft, no longer met the needs.
It did not mention the legal challenges behind those delays, which came from Amazon, the losing bidder, which had questioned whether former president Donald Trump's administration had steered the contract toward Microsoft due to his adversarial relationship with Amazon's chief executive at the time, Jeff Bezos.
In July when the cancellation was announced, the Pentagon's chief information officer, John Sherman, said it was "likely" both Amazon and Microsoft would get some portion of the business in a new award.
A report by the Pentagon's inspector-general did not find evidence of improper influence, but said it could not determine the extent of administration interactions with Pentagon decision-makers because the White House would not allow unfettered access to witnesses.
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