Judge Richard R. Cooch ordered the execution during a brief hearing on Wednesday. The execution is to take place between 12:01 a.m. and 3 a.m. at the James T. Vaughn Correctional Center in Smyrna.
Jackson was convicted of killing Elizabeth Girardi at her Hockessin home.
The Delaware Supreme Court rejected an appeal from Jackson seeking to overturn his death sentence.
Jackson is scheduled to die by lethal injection. Delaware has adopted a new set of execution protocols, and Jackson's lawyers have filed a motion in federal court challenging the substitution of a drug used in the procedure.
Information from: The News Journal of Wilmington, Del.