The Kolkata-born artist died of acute aortic dissection in Marin County in North San Francisco on January 4.
He was schooled in Kathak since he was nine by his guru Pandit Ram Narayan Misra.
His career in India was launched when he was invited by Ravi Shankar to dance at the first Rimpa Festival in Varanasi.
In 1980, he founded the Chitresh Das Dance Company & Chhandam School of Kathak in San Francisco and is now recognised as the largest Indian classical dance school in North America.
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"In his words, 'Life and death are the only reality. You come alone, you go alone. Only thing to do in between is practice and do whatever you do with love'," it said.
Pandit Das maintained a vigorous performing schedule at the academy. The school now has its affiliates worldwide.
In 1970, he received a Whitney Fellowship through the University of Maryland to teach Kathak, and the following year Ali Akbar Khan invited him to be an instructor at the Ali Akbar College of Music in California.
"It is with great sadness that the National Endowment for the Arts acknowledges the passing of 2009 National Heritage Fellow Pandit Chitresh Das, Kathak dancer, choreographer, and educator from San Francisco, California," the endowment said in a statement.
Pandit Das is survived by his wife, Celine, his two daughters, Shivaranjani and Saadhvi.