The rise in reserves was $2.12 billion. This is the second consecutive all-time high.
Foreign currency assets, a key component of reserves, rose by $1.63 billion to $304.96 billion.
The reserves have been rising because the central bank has been mopping up dollar flows through state-run banks in a bid to boost its foreign exchange reserves.
The first time foreign exchange reserves had touched an all-time high of $322.14 billion in the week ending January 16.
However, after that in the following week reserves had dropped slightly before it again touch another all-time high in the week ending January 30 to $327.88 billion.
During the week gold reserves rose by $805.3 million to $20.18 billion.
For the week under review, the Special Drawing Rights (SDRs) rose by $ 21.8 million to $ 4.09 billion, while India's reserve position with the International Monetary Fund (IMF) was down $130.3 million to $977.8 million.
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