The justices wrote that "we reject the conclusion that lethal injection as applied in Florida is unconstitutional." The decision was unanimous.
Lethal injection procedures are under review by the U.S. Supreme Court. The high court has allowed only one execution to be carried out since it agreed in September to hear a case from Kentucky that raises a similar challenge.
The state Supreme Court ruled that Florida's lethal injection procedure does not violate the constitutional ban on cruel and unusual punishment, particularly since safeguards were put in place a December execution.
In that execution, it took 34 minutes - twice as long as usual - for Puerto Rican-born convicted killer Angel Diaz to die.
Mark Dean Schwab, one of two inmates who have sued over the way Florida administers lethal injections to condemned prisoners, is scheduled to be executed on Nov. 15. He was convicted in the rape and murder of 11-year-old Junny Rios-Martinez.
Florida's constitution requires the court to hear appeals from final judgments of trial courts imposing the death penalty.
Russia has delivered three divisions of anti-aircraft missile systems S-300PM-2 to Syria. These systems differ from the classic S-300