High Quality Content by WIKIPEDIA articles! The Governor of Nebraska holds the "supreme executive power" of the State of Nebraska as provided by the fourth article of the Nebraska Constitution. The current Governor is Dave Heineman, a Republican, who assumed office on January 20, 2005 upon the resignation of Mike Johanns (who had been appointed United States Secretary of Agriculture). He won a full term in 2006. The current Lieutenant Governor is Rick Sheehy.