Iran's Supreme National Security Council accused the Saudis of "incompetence" and urged them to "take responsibility" for the deaths.
Nigeria has dismissed remarks by the Saudi health minister blaming pilgrims for "not following instructions".
King Salman has ordered a safety review for the Hajj pilgrimage.
The crush occurred at 09:00 local time (06:00 GMT) on Thursday as two million pilgrims were taking part in the Hajj's last major rite.
The pilgrims throw seven stones at pillars called Jamarat, which stand at the place where Satan is believed to have tempted the Prophet Abraham.
With temperatures around 46C, two massive lines of pilgrims converged on each other at right angles at an intersection close to the five-storey Jamarat Bridge in Mina, a large valley about 5km (3 miles) from Mecca.
This is the deadliest incident to occur during the pilgrimage in 25 years.
It is also the second disaster to strike in two weeks, after a crane collapsed at the Grand Mosque in Mecca, killing 109 people.
Source: BBC
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