Andrew Horce Burke (May 15, 1850 – November 17, 1918) was an American politician who was the Republican Governor of North Dakota from 1891 to 1892. During Burke's administration, it was discovered that North Dakota did not have any laws for the selection of presidential electors. Burke called for a special session of the legislature to convene on June 1, 1891, and attended to the law. The state participated in the 1892 elections when Grover Cleveland became president. Andrew Burke was a penniless orphaned child in New York City. He served as a drummer boy in the Civil War.
Burke died in Roswell, New Mexico.