"Sanctions on the country of Iran!" Trump tweeted.
It was not clear to whom the sanctions would apply.
White House, Treasury and State Department did not provide clarity on the new sanctions.
Earlier this week, Trump appeared to be a forceful response to the attacks; saying the US was "locked and loaded" to respond.
During a Monday meeting with his national security team, Trump discussed potential military and non-military responses to the attack including new sanctions, according to senior administration officials.
US Defense officials were ordered to provide potential responses to the attack on Saudi Arabia's oil facilities, but the White House is waiting for the Kingdom's rulers to decide on a statement CNN.
Two US Defense officials said they would report to the White House meeting.
Secretary of State Mike Pompeo was traveling to Saudi Arabia on Wednesday for meetings, and administration.
A source familiar with White House discussions has denied responsibility for the attacks.
While Pompeo directly blamed Iran for the incident – which forced state-owned Saudi Aramco to help with its production – Trump has stopped short, saying he wanted to wait for a final intelligence report.
It was not clear Iran's culpability.
Trump has already said that the onus is on Saudi Arabia when it comes to dictating the path forward and he's made clear in a rush.  "We have to sit down with the Saudis and work something out," he told reporters on Tuesday. "That was an attack on Saudi Arabia, and that was not attacking us."
"Trump said. We're dealing with Saudi Arabia … We'll see what happens. "