On average, 28 percent of all respondents from the survey expressed a preference for creating an army to protect EU interests.
This opinion was shared by 37 percent of those polled in France, and a slightly smaller share of people in Germany (36 percent), while in Britain only 19 percent spoke in favor of an EU army, according to the survey.
In both Germany and the United Kingdom, less than half of respondents said they were happy about having NATO troops in their country (47 and 48 percent, respectively).
Amid worsening relations with Russia over the Ukraine crisis NATO has been expanding eastward.
Last week, US Defense Secretary Ashton Carter announced that Washington was planning to station military hardware in seven European countries, including Germany.
The international public opinion research project Sputnik.Polls was launched in 2014, in conjunction with leading British public opinion survey specialists ICM Research. It conducts regular opinion polls to monitor public sentiment toward social, political and cultural issues in Europe and the United States.