Admiral Mullen visited the missile destroyer in Mumbai as part of his two-day official visit to the Western Naval Command, starting Thursday.
He earlier inspected a guard of honour at INS Angre, officials said.
He called on the chief of the Western Naval Command, Vice-Admiral Sangram Singh Byce, and was given a presentation on various activities of the Indian Navy's main war-fighting formation.
Mullen was briefed on various activities of the Western Fleet and visited the naval dockyard, officials said.
Photograph: Arun Patil