She was 79.
Her last rites will be performed on Thursday at 10 am, at Besant Nagar crematorium in Chennai.
She leaves behind her husband, K Viswanathan, daughter and two sons of whom Anand is the youngest.
P R Venkatarama Raja, president All India Chess Federation, condoling the demise, lauded Mrs Viswanathan's dedicated efforts in making Anand a champion chess player.
It was she who taught Anand the basic moves of the game and accompanied him to various events.
Image: Viswanathan Anand's mother, Sushila
From the archives: Viswanathan Anand's mother speaks