She named two male tiger cubs Devaa and Nakulaa and two female cubs as Kalaa and Maalaa.
The cubs were born to a white tigress, Namrutha, at the Arignar Anna Zoological Park at Vandalur in neighbouring Kancheepuram district, an official release said.
The zoo is located at Vandalur on the outskirts of Chennai.
Early in June this year, Jayalalithaa had named four female white tiger cubs.