HOUSTON  Despite pleas from the White House and the State Department, as well as an international court order to review their cases, Texas will execute five Mexicans on death row, a spokeswoman for the governor said Thursday.

The first of the executions  that of José Ernesto Medellín, 33, convicted in the 1993 rape and murder of two teenage girls here  is scheduled for Aug. 5.

The decision by Gov. Rick Perry to allow the executions is the latest twist in a long-running battle between Mexico, which has no death penalty, and the United States over the fate of 51 Mexicans facing capital punishment in several states, including 14 in Texas.

On Wednesday, the International Court of Justice at The Hague ordered a review of five of the Texas cases after Mexico complained that the convicts, all men, had not been allowed a chance to talk to a Mexican consul after their arrests, as required under the 1963 Vienna Convention on Consular Relations.