Proud father, is the way I would sum it all up."[282] Jeb would again run for governor of Florida in 1998 and win at the same time that his brother George W. won re-election in Texas. It marked the second time in United States history that a pair of brothers served simultaneously as governors.[283]

George and Barbara Bush, 2001
Bush supported his son's candidacy in the 2000 presidential election, but did not actively campaign in the election and did not deliver a speech at the 2000 Republican National Convention.[284] George W. Bush defeated Al Gore in the 2000 election and was re-elected in 2004. Bush and his son thus became the second father–son pair to each serve as President of the United States, following John Adams and John Quincy Adams.[285] Through previous administrations, the elder Bush had ubiquitously been known as "George Bush" or "President Bush", but following his son's election the need to distinguish between them has made retronymic forms such as "George H. W. Bush" and "George Bush Sr." and colloquialisms such as "Bush 41" and "Bush the Elder" more common.