Based on anonymous interviews with more than 10,000 men aged between 18 and 49-years-old in Bangladesh, China, Cambodia, Indonesia, Sri Lanka and Papua New Guinea, the study is the first of its scale in the region.
"Violence against women is a harsh reality for many," Roberta Clarke, regional director of UN Women, said at the launch of the report in Bangkok.
"We must change the culture that enables men to enact power and control over women.
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The prevalence of rape varied widely between locations, the UN said, explaining that its sample areas were not representative of whole countries.
Using a definition of non-consensual, penetrative sex as a benchmark, the study said 11 percent of respondents reported having raped a woman who was not their partner.
This rose to nearly a quarter -- 24 percent -- when their partner was included in the question.
Of those men who said they had committed rape, just under half (45 percent) said they had raped more than one woman.
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