Middle East News Agency (MENA) said no foreigners were among the dead or injured.
All the victims were taken to Sharm El-Sheikh International Hospital, 10 of them are still in a serious condition.
Road accidents are common in Egypt, with 6,000 people being killed and more than 30,000 injured in 2006 alone. Experts cite poor transport conditions and a failure by drivers to observe traffic rules as the main causes of accidents.
Egyptian authorities have launched a large-scale campaign to reduce traffic accidents.