Rear-Admiral Sir Henry Palmer (c. 1550 – 1611) was an English naval commander and Comptroller of the Navy at Chatham Dokyard where he held office overlooking the mast pools.

When this squadron joined the fleet under the lord admiral before Calais on 27 July, Palmer was sent to Dover to order out vessels suitable to be used for fireships.

When Seymour, with the squadron of the Narrow Seas, was ordered back from the pursuit of the Spanish, Palmer returned with him, and continued with him and afterwards with the fleet till the end of the season.

He was employed in similar service throughout the war, his squadron sometimes cruising to the coast of Cornwall, or to Ireland, but remaining for the most part in the Narrow Seas, and in 1596 blockading Calais.

His other son was called Levin and little is known about his life He was the executor of his close friend Sir John Hawkins and for this task he was bequeathed a diamond worth £20