The court also turned down an appeal for Lee in a another murder conviction.
Lee was convicted of second-degree murder in the death of Garalyn Barr Desoto. The jury voted 11-1 to convict. Because the verdict was not unanimous, Lee's attorneys appealed.
In Louisiana, first-degree murder requires an unanimous verdict, but Lee was convicted of second-degree murder in the Desoto death. The Supreme Court ruled in a previous case more than 30 years ago that the Constitution does not ban less than unanimous verdicts.
Suspected In Seven Deaths
However, the court ruled in 1972 that federal criminal trials must have unanimous verdicts.
Lee, a former truck driver to traveled throughout Louisiana and MIssissippi, is suspected of killing at least seven women between 2002 and 2003. He was sentenced to death in two of the cases.
Photo: Mug Shot