The accident took place when a car carrying six passengers collided with a police vehicle with eight policemen travelling in it.
A tyre of the police vehicle exploded and it collided with the car following which a fire broke out.
Security forces and ambulances rushed to the spot and admitted the three injured to hospital.
Earlier in November, two major accidents took place in Egypt's different governorates killing at least 28 people.
The government has again amended the traffic law for the second time in six months putting harsher punishments on violators.
Amendments include a penalty of a minimum one year in prison for driving under the influence of drugs and if a driver injures one or more persons he may get at least two years of imprisonment.
Egypt has one of the world's highest accident rates owing to careless driving and poor road and vehicle conditions.
