Hugh Downman (c. 1765 – 4 January 1858) was an officer of the Royal Navy who saw service during the American War of Independence and the French Revolutionary and Napoleonic Wars, eventually rising to the rank of admiral. Left without active employment after the end of the wars with France, he briefly returned to service in 1824. before being promoted to flag rank the following year. Downman continued to rise through the ranks, reaching the rank of full admiral before his death in 1858.