Florida will investigate the attempted assassination of Republican presidential candidate Donald Trump at his West Palm Beach golf course, Florida Governor Ron DeSantis said on Tuesday.

"The state of Florida has jurisdiction over the most serious, straightforward offense, which is attempted murder," DeSantis said at a news conference.

Trump was safe and unharmed after shots were fired at Trump International Golf Club in South Florida on Sunday. The U.S. Federal Bureau of Investigation (FBI) later said it "is investigating what appears to be an attempted assassination" on the former president, just two months after an attempt on his life at a Pennsylvania rally.

The suspect, 58-year-old Ryan Wesley Routh, was arrested on Sunday and has been charged with possessing a firearm as a felon and possessing a firearm with an obliterated serial number. 

(With input from agencies)