Bolton also warned of the possibility of a strike against Iran in the future during a meeting with Israeli Prime Minister Benjamin Netanyahu in Jerusalem.
After coming within minutes of military strikes, Trump stepped back from the brink of a dangerous escalation Thursday.
The President said Friday he called off an attack because he decided there would be too many deaths for a proportionate response to the downing of the US drone.
The President’s stance on the dramatic escalation in tensions with Iran has been in stark contrast to harsh public warnings from Secretary of State Mike Pompeo and particularly the views of Bolton.
Referring to Trump’s decision to call of the strike, Bolton threatened possible military action in the future. “The President said, ‘I just stopped the strike from going forward… at this time,'” said Bolton on Sunday.
“As President Trump said on Friday, our military is rebuilt, new, and ready to go — by far the best in the world,” Bolton said. “Sanctions are biting, and more were added last night. Iran can never have nuclear weapons, not against the USA, not against the world.”
Bolton concluded his remarks by saying, “Stay tuned.”
Meanwhile the United Arab Emirates’ foreign minister said Sunday that a de-escalation of tensions in the Gulf region could only be achieved via a “political solution.”
“Regional voices (are) important to achieve sustainable solutions” to a crisis which has been “long in the making,” he added.
‘Make Iran great again’
Tensions have spiked in the region since the US withdrew from the Obama-era nuclear deal with Iran last year.
The location of the drone’s downing has been a point of contention, with the Trump administration insisting the drone was in international airspace over the Strait of Hormuz.
The incident has left Trump caught between some Republicans demanding a response and congressional Democrats warning that the President — and the Iran policy hard-liners on his national security staff — could lose control of the situation and lead the United States into war.
He said Saturday that the US is putting additional sanctions on Iran and he would support a course of action to “make Iran great again” should Tehran agree to a nuclear weapons ban.
CNN’s Kevin Liptak, Nicole Gaouette and Nada Bashir contributed to this report.