The survey was carried out between May 12-18 based on telephone interviews with around 2,000 adults living in all 50 US states and the capital Washington. It has a margin of error of 2.5 per cent.
Three in 10 Americans said they were very concerned that US strikes could lead to retaliation from extremist groups and only 24 per cent said the strikes could damage America's reputation. A 29 per cent, said they were very concerned about whether the strikes were legal.
It may be added that US president Obama relies heavily on drone raids to hunt down Al Qaeda leaders and other Islamist extremists from Pakistan's tribal areas to Somalia and Yemen.