CCTV footage from the Westgate Mall attacks reportedly shows soldiers going on a drunken looting spree throughout the complex.
The Kenyan Star, which saw the video, said virtually all of the shops in the mall were looted during the three day battle between soldiers and militants.
Jewellery, watch and mobile shops were emptied, whilst ATMs, banks and a casino all lost money.
The video reportedly shows empty bottles of alcohol strewn across the floors and cafes, as well as soldiers attempting to cover security cameras.
The official death toll for the attack remained at 61 civilians including six Britons, six soldiers and five attackers, although other bodies have been recovered from the rubble in the last few days.
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Between 4,000 and 8,000 fighters of the so-called Islamic State are still thought to be in the area.
Police are trying to find the driver of the car following the incident in Kingfisher Close, Brownhills.
An unnamed man died at the scene, while a woman was pronounced dead after being taken to St George's Hospital, Tooting, south-west London.