Henry Harrison (c.1713 in Lancashire, England – January 3, 1766) was a merchant and politician, and the mayor of Philadelphia, Pennsylvania, 1762–1763.
In his early life, he was captain of the ship The Snow Squirrel.
He served as an alderman in Philadelphia. On October 5, 1762, he was appointed mayor of Philadelphia, serving until October 4, 1763.
He was a member and vestryman of Christ Church.
He also served as manager of the Public Hospital.