Joe Lenku said 1,000 people had managed to escape from the Westgate centre after the assault by suspected al-Shabab militants.
He added that between 10 to 15 attackers were still in the building.
It is not known how many civilians remain trapped there - either as hostages or hiding from the militants.
There is a heavy military presence both in and around the shopping centre. Sporadic gunfire can be heard from inside.
There are reports that the gunmen are currently holed up in a supermarket.The Somali militant group al-Shabab says it carried out the attack on the upmarket shopping centre in response to Kenyan military operations in Somalia.
There are about 4,000 Kenyan troops in the south of Somalia, where they have been fighting the militants since 2011.
'Watching and monitoring' Kenyan officials said "major operations" were under way, with police and soldiers preparing an apparent bid to bring an end to the stand-off.
But Mr Lenku stressed that the operation was "very, very delicate".
"The priority is to save as many lives as possible,'' he said.
The BBC's Will Ross at the scene said it would be extremely difficult for the military do a quick raid on the building because of all the people inside.
Al-Shabab has claimed there are at least 36 hostages, but this cannot be independently confirmed. There are also likely to be people hiding away from the attackers.
Our correspondent says the full extent of the attack will not be known until the military is back in control.
Meanwhile, people are still escaping from the building.
Cecile Ndwiga got out on Sunday morning, saying she had been hiding under a vehicle in the basement car park but could not leave earlier because "the shootout was all over - left, right".
The authorities have asked journalists to exercise caution when reporting military developments because the gunmen might be monitoring the media.
The authorities are also appealing for Kenyans to donate blood. Big queues have formed at a Nairobi donation centre.
The attack began at about 12:00 local time (09:00 GMT) on Saturday, when the militants entered the Westgate centre, throwing grenades and firing automatic weapons. A children's day was being held at the time - children are among those reported killed.
Witnesses report seeing many bodies strewn round tables of unfinished fast food - with pop music left playing in the background.
Some witnesses said the militants told Muslims to leave and said non-Muslims would be targeted.
"They came and said: 'If you are Muslim, stand up. We've come to rescue you'," said Elijah Lamau.
He said the Muslims left with their hands up, and then the gunmen shot two people.
BBC security correspondent Frank Gardner says a security source told him that at least one of the attackers was a woman who appeared to have a leadership role.
Foreigners among dead In a televised address on Saturday evening, Mr Kenyatta said: "We shall hunt down the perpetrators. We shall get to them and we shall punish them for this heinous crime."
He said he had "personally lost family members in the Westgate attack".
Manager: "Bullets were running over my head... I crawled into my office and I locked myself inside."
Kenyans have been shocked by the news of the attack in an upmarket shopping centre |
Military and police are out in force at the Westgate centre, trying to capture the gunmen |
They are stopping and searching anyone in the area |
The shopping centre was popular with foreigners and wealthy Kenyans - many of Indian descent |
Most of those who were inside the centre when the gun battle began managed to flee, but some were trapped |
Armed police combed the corridors as terrified shoppers fled |
Some went to extraordinary lengths to escape |
Source by www.bbc.co.uk
Post a Comment