Francis Day (1605–1673) was an administrator associated with the East India Company. He served as a factor of the company's factory at Masulipatnam from 1632 to 1639. In 1639, he negotiated the purchase of a strip of land south of the Dutch factory at Pulicat from the Raja of Chandragiri, where the town of Madras was built. He served as the second Agent of Madras from 1643 to 1644. Along with Andrew Cogan, he is regarded as the founder of Madras.