The high court, in a 7-2 vote, upheld the constitutionality of lethal injections in a case brought by two Kentucky death row inmates, The Houston Chronicle reported Thursday.
"Texas is a law-and-order state, and I stand by the majority of Texans who support the death penalty as it is written in Texas law," Perry said. "It is an appropriate response for the most violent crimes against our fellow human beings.
In challenging Kentucky's method of execution, the two inmates contended administration of an anesthetic followed by a muscle relaxant violated the constitutional ban on cruel and unusual punishment.
The high court disagreed Wednesday in a majority opinion written by Chief Justice John Roberts.
Critics of the death penalty had hoped the Kentucky case would end all executions in the United States, The Fort Worth Star-Telegram reported.