Latest reports from inside the besieged Westgate shopping centre in Nairobi suggest that the Somali al-Shabaab militants who laid siege to the mall on Saturday continue to occupy the building, and have taken an unknown number of hostages.

Overnight, Somalia's al-Qaida-linked rebel group, al-Shabaab, claimed responsibility for the attack, in which they targeted non-Muslims.

Fifty-nine people are thought to have died so far, and many more have been injured.

Kenya's interior cabinet secretary Joseph Lenku said about 1,000 people have been rescued so far from the mall.

The gunmen remain inside with their hostages.

The militants are thought to be accessing the internet inside the shopping centre, tracking all the latest developments in the outside world, including security measures.

Below are the latest images from in and around the shopping centre. WARNING: SOME READERS MAY FIND GRAPHIC IMAGES BELOW DISTURBING.

READ MORE: 300 Feared Dead and Injured in Mall Siege

Nairobi Westgate Mall Siege, Day 1 in Pictures (WARNING: GRAPHIC IMAGES)