Assistant Interior Minister Abdel-Aziz Tawfeeq said rescue teams were continuing to search for survivors under the rubble of the eight-story building that collapsed early on Wednesday. Another eight people are injured.
It was not immediately known what caused the collapse, but violations of building specifications have been blamed in the past for similar accidents.
The governor of Alexandria, Mohammed Abbas Atta, told Egypt's official news agency that the building was constructed without a permit.
The collapse came one day after 19 police conscripts were killed when the last car of the train they were riding on jumped the tracks and smashed into another train.
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