The tower is a 185-metre high cylindrical block overlooking the Thames and the Houses of Parliament.
The helicopter also smashed into two cars as it plunged to the ground.
The pilot, who was the only person on the helicopter and a person on the ground were killed, according to the Metropolitan Police.
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Thirteen people were injured, six are currently in hospital and one is believed to be in a critical condition. The other seven were treated at the scene.
The crash happened near Wandsworth Road in south Lambeth the London fire brigade said.
People have been urged to stay away from the area while the damage is being assessed.
The Augusta 109 helicopter was diverted to Battersea due to poor weather conditions.
(CD/GK)
