President Trump has authorized new, classified orders for the Pentagon’s cyberwarriors to conduct offensive attacks against adversaries more freely and frequently, the White House said on Thursday, wiping away Obama-era restrictions that his advisers viewed as too slow and cumbersome.

“Our hands are not as tied as they were in the Obama administration,” John R. Bolton, the national security adviser, told reporters in announcing a new cyberstrategy.

Mr. Bolton rewrote a draft of the strategy after joining the administration in April. Many of his remarks on Thursday focused on a secret order — which Mr. Trump signed in August but which has never been publicly described — that appears to give far more latitude for the newly elevated United States Cyber Command to act with minimal consultation from a number of other government agencies.

The order essentially delegates more power to Gen. Paul M. Nakasone, who took over this year as the director of the National Security Agency and the commander of United States Cyber Command. During his Senate confirmation hearing in March, General Nakasone complained that America’s online adversaries attacked with little concern about retaliation.