Thirty-two percent of the polled said Trump would best handle Islamic State, while 16 percent said former Florida governor and younger brother and son of two former US presidents Jeb Bush would, CNN/ORC poll revealed.
Trump told US media over the weekend that he favors sending ground troops to Iraq to fight the jihadi militants.
Meanwhile, some 44 percent of respondents said Trump would be the best candidate to handle illegal immigration, followed by Bush at 12 percent and US Senator Marco Rubio at 7 percent.
In his plan, Trump proposed making Mexico pay for a permanent border wall along the two countries, mandatory returns of all criminal immigrants, penalties for Mexicans overstaying a US visa as well as ending birthright citizenship.
In several of the latest presidential polls, Trump continues to lead amongst other Republican candidates often trailing ahead of Bush.
The US presidential election is scheduled for November 8, 2016.