Governor Alexander may refer to:

Archie Alexander (1888–1958), Governor of the United States Virgin Islands Edward Bruce Alexander (1872–1955), Acting Governor of British Ceylon George A. Alexander (1884–1969), Naval Governor of Guam James Thomas Alexander (1888–1952), Naval Governor of Guam Lamar Alexander (born 1940), Governor of Tennessee Moses Alexander (1853–1932), Governor of Idaho Nathaniel Alexander (governor) (1756–1808), Governor of North Carolina William Alexander (the younger) (1600s–1638), Governor of Acadia William Alexander, 1st Earl of Stirling (1560s–1640), Governor of Acadia