Four Indians, including two women and a girl, were injured in the attack and are receiving medical treatment, the spokesperson said.
India's mission in Nairboi is in touch with the families of the deceased, the spokesperson said.
Somalia's al Qaeda-inspired Shebab rebels said the carnage was in direct retaliation for Kenya's military intervention in Somalia, where African Union troops are battling the Islamists.
Senior police sources had described the attackers as a well-organised "terror gang" numbering around 10. The mall, popular with wealthy Kenyans and expatriates and part Israeli-owned, was packed with around 1,000 shoppers when it was attacked.