The News International-owned red-top is to be the first national newspaper to run ads and editorial in this format.
The one-off title will be published on 5 June, when Sun readers will see a chunk of its editorial, including Page 3, ads and a World Cup Fixtures Wall Chart in 3D.
Sun readers will receive a pair of 3D glasses with the paper.
It is understood that advertisers will have to pay a significant premium if they want colour ads in 3D.
The Sun is understood to be supporting the issue with a TV campaign running in May.
It is also thought to be upping its print run by hundreds of thousands of copies on 5 June.
The 2010 World Cup in South Africa will be filmed in 3D for the first time. Up to 25 of the games will be captured using 3D cameras.
England's group matches will not be screened in 3D.
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