9 Del. C. § 1111

(a) At the first general election in November following May 26, 1965, and each fourth year thereafter, a County Executive shall be elected at large from New Castle County, except that if such first general election is in a nonpresidential election year, then the County Executive thus elected shall serve a term of 2 years and thereafter shall be elected each fourth year in a presidential election year. He or she shall take office on the first Tuesday in January following his or her election. He or she shall serve no more than 2 consecutive terms of 4 years each, not counting any partial terms he or she may serve as a result of vacancy in the office of County Executive or as a result of his or her election to a term of 2 years as aforesaid. Following any 2 consecutive 4 year terms served by the County Executive, he or she may again hold the office provided that a 4 year term has intervened since he or she last held the office.

(b) The County Executive shall be the chief executive officer of the County. The County Executive shall be responsible to the people of the County for the executive and administrative work of the County. The County Executive shall be recognized as the head of the County Council for all ceremonial purposes, the purposes of military law, and the acceptance of service of civil process.