The women's title will be launched by New York-based Hearst Magazines International, in partnership with ACP Magazines, on Thursday (11 August).
A spokeswoman said that luxury fashion brands, watch designers and car makers have signed up to advertise in the first edition.
Advertisers will be invited to attend the magazine's launch.
International editions of the magazine have been available to buy in Singapore since 2004, but new content classifications launched by the Media Development Authority of Singapore now mean a local edition of Cosmopolitan can be released, provided it does not contain "exploitative sex and nudity".
Deborah Tan, editor-in-chief of Cosmopolitan Singapore, said: "We have identified an audience of independent, opinionated women in Singapore that no magazine is currently targeting.
"Cosmopolitan will be the partner-in-life for this woman. We are confident Cosmopolitan will resonate very well with them."
The English-language magazine could also be distributed to Malaysia.
The news comes as Hearst Magazines UK confirmed it will close Cosmopolitan Bride and She magazines in the wake of acquiring Hachette Filipacchi titles, including Red and Ellle.
The Singapore edition of Cosmopolitan will launch with a 40,000 print run and a $5 cover price.
Cosmopolitan is available in 35 languages and claims to have 78 million global readers.
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