It will be the first Cabinet level visit after the successful visit of US President Barack Obama to India last month.
"Following-up on President Obama's recent visit to India, the Secretary will visit Mumbai and Delhi to further our cooperation on economic issues of importance to both nations," the Treasury said in a statement on Wednesday.
Lew, 59, will be in Mumbai for meetings with Reserve Bank of India Governor Raghuram Rajan and other Indian business and financial leaders on February 11.
The next day he will visit New Delhi to co-chair the fifth annual meeting of the US-India Economic and Financial Partnership with Union Finance Minister Arun Jaitley.
"This meeting will focus on the state of the economy and outlook in India and the United States, as well as the Indian government efforts to advance economic reforms, encourage investment, and boost growth," the Treasury said.
"The United States and India recognise the importance of expanding bilateral economic engagement, noting the rapid growth of US-India economic ties and the increasing range of global macroeconomic and financial issues on which the US and India cooperate," it said.
Ahead of Barack Obama's visit, India and the US had launched an investment initiative to focus on capital market reforms and policy measures that would help spur long-term investment by American investors in India.

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