Defence sources said Harris, nominee for US Pacific Command, will hold talks with Navy Chief Admiral R K Dhowan and later call on Defence Minister Manohar Parrikar.
US and Indian official remained tight-lipped about what is on the agenda but they said effort is to deepen the bilateral ties.
His visit comes just weeks after President Barack Obama said the US is "primed to unlock" the potential of relations with India as part of its rebalance to Asia and the Pacific.
Running into more than 30 pages, the National Security Strategy says that in South Asia, the US continue to strengthen its strategic and economic partnership with India.
"As the world's largest democracies, we share inherent values and mutual interests that form the cornerstone of our cooperation, particularly in the areas of security, energy, and environment," it said.
"We support India's role as a regional provider of security and its expanded participation in critical regional institutions. We see a strategic convergence with India's Act East policy and our continued implementation of the rebalance to Asia and the Pacific," the strategy said.
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