|Last Updated: Tuesday, 16 October 2007, 14:41 GMT 15:41 UK |
It will be the first time a sitting president will have appeared in public with the 72-year-old Buddhist leader.
On Wednesday the president will attend a ceremony at the US Capitol where the Dalai Lama will receive a Congressional Gold Medal, the top US civilian award.
A Chinese spokesman said Beijing would like the US "to correct the mistakes and to cancel the arrangements".
A White House spokeswoman said Mr Bush understood Beijing's concerns, but "we would hope that the Chinese leader would get to know the Dalai Lama as the president sees him - as a spiritual leader and someone who wants peace", she said.
Tuesday's White House meeting will be the third encounter between the US president and the Tibetan spiritual leader since Mr Bush took office in January 2001.
But the meeting is expected to take place in the White House residence rather than the Oval Office out of deference to China.
Chinese officials in Tibet expressed fury at the announcement of the Congressional award.
Tibet's Communist Party Secretary of Tibet, Zhang Qingli, lambasted the exiled spiritual leader for trying to "split the motherland".
"We are furious," he said. "If the Dalai Lama can receive such an award, there must be no justice or good people in the world."
The Dalai Lama has lived in exile in India since a failed uprising against Chinese rule in 1959.
Beijing has long argued the 1989 Nobel Peace Prize laureate is seeking to destroy China's sovereignty by pushing for independence for Tibet.
The Dalai Lama insists he wants "real autonomy", not independence for the region, which China claims has been its territory for centuries, and which it has ruled since communist forces invaded in 1951.
Human rights concerns
The Dalai Lama's arrival in Washington on Monday was greeted by a crowd of singing and dancing Tibetans dressed in traditional robes.
Recently, world leaders have grown more vocal in their concern for human rights in Tibet.
In September, German Chancellor Angela Merkel met the Dalai Lama, incurring Beijing's wrath.
The historic Berlin meeting prompted China to withdraw from a German-Chinese symposium scheduled to be held in Munich and to cancel an annual event due to be held in Beijing in December to discuss human rights.
The Dalai Lama has also met Austrian Chancellor Alfred Gusenbauer and Australian Prime Minister John Howard this year, and is due to meet Canadian Prime Minister Stephen Harper later this month.
China was outraged when Canada granted the Dalai Lama honorary citizenship last year.