Bush's casket travelled by train from Houston to College Station, Texas, and then carried to the gravesite behind his library by a military honour guard, in a ceremony overseen by his son and former President George W Bush.
"As he aged, he taught us how to grow old with dignity, humor, and kindness — and, when the good Lord finally called, how to meet him with courage and with joy in the promise of what lies ahead," George W Bush said.
Iraqi journalist Muntazer al-Zaidi spent nine months in jail before he was released for good behaviour in 2009. He is currently the president of al-Zaidi Foundation which is involved in humanitarian work.
Former Presidents Bush and Clinton told a forum in Dallas on Thursday that they were able to forge mutual bonds of respect and friendship because the other had been gracious in victory and respectful of presidential power.