The convoy transported 18 kings and four queens, mostly from the New Kingdom, from the Egyptian Museum in central Cairo's Tahrir Square to the National Museum of Egyptian Civilization in Fustat.
Egypt has announced dozens of ancient discoveries in the past couple of years, in the hope of attracting more tourists.
Egypt has unveiled new visitor facilities on the plateau outside Cairo where the Great Pyramid of Giza and the Great Sphinx are situated.
Archaeologists were still working to determine the origins of the coffins, el-Arif said, adding that more details and secrets would likely be announced next month.
Workers are rushing to build core areas of the new city to replace Cairo, the existing capital on the Nile that has become a traffic-clogged, urban sprawl of more than 20 million people.
Passengers carrying luggage ran for their lives as the fire spread, and several people were running covered in flames.
The hot weather makes early mornings the best time to see the pyramids.