The statement concludes: "Our hearts ache with his loss, and we, with the American people, send our prayers to the entire Bush family, as we honor the life and legacy of 41".
Former President George H.W. Bush died Friday at the age of 94.
In 2012, the former president announced that he had vascular Parkinsonism.
Since exiting the highest office, his love of life and family was never more visible.
George Herbert Walker Bush was the 41st President of the United States and the father of the 43rd.
Bush was the last veteran of World War II to serve as United States president. In 2013, he was in dire enough shape with bronchitis that former President George W. Bush, his son, solicited ideas for a eulogy.
Mr Bush was the longest-lived president in U.S. history with no other president having lived as long. Later, he was director of the Central Intelligence Agency.
He was a World War Two aviator and Texan oil tycoon before entering politics in 1964 as a Republican.
The campaign was marked by an infamous political television ad produced by a group supporting Bush that depicted Dukakis as weak on crime because as governor he had released on weekend furlough a convicted killer, a black man named Willie Horton, who then raped a white woman and assaulted her white fiance.
He assembled a coalition of 32 nations to drive Iraqi forces out in a matter of weeks with a lightning air and ground assault.
After retiring from public life, the late Bush joined his successor, Bill Clinton, in raising funds for victims of the 2004 Asian tsunami and the 2010 Haiti quake.
He worked with Carter, Clinton, Obama and son George to raise money for hurricane victims in Texas in 2017.
Son Jeb made his own presidential run in 2016, but fell short in the Republican primaries against Trump.
Only one other US president, John Adams, had a son who also became president.