The cyber coordinator position was established under the Obama administration, and was last held by Rob Joyce, a former National Security Agency official with expertise in cybersecurity.
The US government has killed off a top government position for cyber policy, the media were reporting earlier this week.
Detractors say the role was important symbolically, though, and perhaps structurally as well - Senator Mark Werner (D-VA) says the coordinator was "the only person in the federal government tasked with delivering a coordinated, whole-of-government response to the growing cyber threats facing our nation".
"With our two Senior Directors for Cybersecurity, cyber coordination is already a core capability", the announcement read.
"Today's actions continue an effort to empower National Security Council Senior Directors". Joyce disclosed last month he was returning to the NSA, The Hill reported.
Asked about the position at a Senate Homeland Security Committee hearing on Tuesday, Department of Homeland Security Secretary Kirstjen Nielsen said she had not discussed the decision with Bolton.
"Since Ambassador Bolton has come onto the job, he and I speak regularly", she said, describing cybersecurity strategy work between herself and Bolton as "hand in glove". "It will focus on coordinating departmental cybersecurity activities to ensure a unity of effort".
White House National Security Advisor John Bolton (L) and Vice President Mike Pence listen to President Donald Trump announce his decision to withdraw the United States from the 2015 Iran nuclear deal in the Diplomatic Room at the White House May 8, 2018 in Washington, DC.
The Trump administration has eliminated the White House's top cyber policy role, Politico reports.