"This new Unified Combatant Command will strengthen our cyberspace operations and create more opportunities to improve our nation's defense," Trump said in a statement. "The elevation of United States Cyber Command demonstrates our increased resolve against cyberspace threats and will help reassure our allies and partners and deter our adversaries."
The elevation will streamline and prioritize the cyber operation, he added.
"United States Cyber Command's elevation will also help streamline command and control of time-sensitive cyberspace operations by consolidating them under a single commander with authorities commensurate with the importance of such operations Elevation will also ensure that critical cyberspace operations are adequately funded."
Trump said he's directed Defense Secretary James Mattis to decide whether to split the unit, known as Cybercom, from the NSA.
"He will announce recommendations on this matter at a later date," the president said.
NBC News reported that Mattis has a 60-day deadline.
SInce 2014, NSA chief Adm. Mike Rogers has directed Cybercom. It was established in 2009 under the leadership of U.S. Strategic Command.
Before leaving office, former President Barack Obama also said the dual arrangement should be split up.
"The two organizations should have separate leaders who are able to devote themselves to each organization's respective mission and responsibilities, but should continue to leverage the shared capabilities and synergies developed under the dual-hat arrangement," Obama wrote.
The NSA, founded in 1952, is tasked with protecting the government's classified networks -- but it is perhaps best known for spying on overseas targets to gather intelligence on adversaries and foreign governments.
Cybercom's mission is different in that it disrupts and destroys adversaries' networks against incoming threats to critical systems, including the U.S. military's computers.