Egypt has seen a wave of attacks claimed by jihadist groups since the army last year removed its first freely elected president, Islamist Mohamed Morsi, and cracked down on his supporters.
"There was one powerful blast at 9:45 am (0745 GMT), followed by another, less powerful, two minutes later," a resident said.
The resident said the explosions sounded as though they came from an area near Cairo University of the sprawling Giza district, which is home to the Pyramids.
Another resident said ambulances and fire engines were converging on Giza.
