Thomas Smith (? - 1762) was a British admiral and colonial governor.
Smith was born in England, rumored to be the illegitimate son of Sir Thomas Lyttelton. He joined the Royal Navy and became a junior lieutenant on the Royal Oak in 1727. In 1730, he was elevated to captain of the Success.
Smith was captain of the Romney from 1740 to 1742, where his duty was to protect the Newfoundland fisheries. He was appointed governor of Newfoundland in 1741 and only served one year, but was appointed again as governor and commander-in-chief in 1743.
Smith continued his naval career and was promoted to Rear-admiral of the Red in 1747, and Vice-admiral of the White in 1748. After promotion to Vice-admiral of the Blue in 1758, Smith retired from the Navy. He died in August of 1762.