The majority of the 19 hijackers involved in 9/11 were from Saudi Arabia, with the remaining four from Lebanon, the UAE and Egypt.
Barack Obama introduced a law during the last year of his presidency which allowed victims to sue the Saudi government for its role in the attack.
The law, named the Justice Against Sponsors of Terrorism Act, held governments responsible for the actions of their citizens against US nationals.
Donald Trump (L) and Mohammed bin Salman, Deputy Crown Prince
Just under 3,000 people died in the 2001 atrocity, which saw hijackers crash planes into the North and South Twin Towers in New York and the Pentagon in Virginia.
Passengers managed to over-power hijackers on a fourth plane, which then crashed in the Pennsylvania countryside.
The Saudi Energy Minister Khalid al-Falih, who is also head of the petroleum company Aramco, said his government was “hot happy” about the passage of the Act, which is also known as Jasta.
Merkel meets Trump at the White House Fri, March 17, 2017
U.S. President Donald Trump has welcomed German Chancellor Angela Merkel to the White House in Washington DC
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U.S. President Trump and German Chancellor Merkel hold a joint news conference in Washington
US President has given his support to Donald Trump to the Jasta Act
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Mr Falih added that the law was being passed at a time of a “heated political period”.
He told The Wall Street Journal: “We believe after due consideration by the new Congress and the new administration, that corrective measures will be taken.”
The FBI led an investigation into allegations regarding ties between the Middle Eastern kingdom and the 9/11 attackers after 19 hijackers were found to have come from Saudi Arabia.
Donald Trump held talks with the Saudi Deputy Crown Prince Mohammed bin Salman
Riyadh has always denied any involvement in events.
The US President's business background and hardline views against Saudi Arabia's regional rival, Iran, have made the billionaire real estate tycoon popular with the kingdom's leadership.
Mr Trump met with Saudi Arabia's Deputy Crown Prince and Defence Minister Prince Mohammed bin Salman on Tuesday to discuss closer political and business cooperation between Washington and Riyadh.
Despite good relations Mr Trump has backed the legislation, calling the previous President Obama’s previous vetoing of the bill as being “shameful”.