Is America due for another Bush president? Picture: AFP / Saul Loeb Source: AFP

Following in the footsteps of his father, George H.W. Bush, and brother, George W. Bush - both of whom once held America’s highest political office - former Florida Governor Jeb Bush has announced he will “actively explore” a campaign to become the next US president.

You may recall the tenure of Jeb’s brother George, who left office in 2009 with a dismal approval rating of 34 per cent. He led the US through the September 11 terrorist attacks, and most notably, initiated the Afghanistan and Iraq wars.

Former US President George W Bush (left) with his sister Doro and brother Jeb in 2004. Source: AFP

Florida Governor Jeb Bush being congratulated by his father, former president George HW Bush after being re-elected in Miami in 2002. Source: AFP

In a holiday message posted on Bush’s Facebook page and Twitter account, the son and brother of past Republican presidents said he discussed the “future of our nation” and a potential bid for the White House with members of his family over the Thanksgiving holiday.

“As a result of these conversations and thoughtful consideration of the kind of strong leadership I think America needs, I have decided to actively explore the possibility of running for president of the United States,” Bush wrote.

The announcement by Bush, who is among the more moderate potential candidates, is sure to reverberate throughout Republican politics and begin to help sort out a field that includes more than a dozen potential candidates, none of whom have formally announced plans to mount a campaign.

The early move could pre-empt other Republicans with White House aspirations in the bidding for big donations and public support.

Former Florida Governor Jeb Bush on Tuesday. Picture: AP Photo/Susan Walsh Source: AP

In the race for the Democratic nomination, Hillary Clinton, who has not yet declared her candidacy, appears to be the early favourite.

Kristy Campbell, a spokeswoman for Bush, said he has not yet made a final decision on whether to seek the Republican Party’s presidential nomination in 2016. She said that he will announce his decision next year “after gauging support” for a run.

Should he ultimately decide to run, Bush can tap into his family’s vast political network and his campaign would attract strong support from the same donor pool that other establishment-minded Republicans — New Jersey Governor Chris Christie among them — need to fuel their own prospective campaigns.

A Bush candidacy also has the potential to affect the plans of Florida Senator Marco Rubio, who came up through Florida politics as a strong Bush supporter and is considering whether to seek re-election to the Senate or run for president in 2016.

“Marco has a lot of respect for Governor Bush, and believes he would be a formidable candidate,” said Alex Conant, a spokesman for Rubio. “However, Marco’s decision on whether to run for president or re-election will be based on where he can best achieve his agenda to restore the American Dream — not on who else might be running.”

Tuesday’s statement is the latest and most definitive signal that Bush plans to try and become the third member of his family to serve as president. In a TV interview this past weekend, he said he “would be a good president,” disclosed that he was writing an e-book about his time as governor that would come out in the spring, and promised to release about 250,000 emails from his time in office.