President Trump said the move, reversing decades of U.S. policy in the Middle East and drawing sharp international criticism, was "a long time in the making."
After more than a year of investigations into bribery, fraud and breach-of-trust allegations, officials have recommended that prosecutors pursue the cases.
In a news conference that lasted over an hour, the president urged Congress to evaluate "this agreement based on the facts, not on politics." The deal faces much skepticism in Congress and in Israel.
In an interview with NPR, Israeli Prime Minister Benjamin Netanyahu said the nuclear deal reached with Iran will allow it to attain a nuclear bomb even if Iran complies with the terms.
The Israeli prime minister, who has long called Iran an existential threat, reiterated his opposition to the framework agreement Iran reached with six world powers over its nuclear program.
The Israeli leader ruffled feathers during the bruising campaign. Since then, he has sought to make amends. In the latest move, Israel is handing over money it had withheld from the Palestinians.