HOUSTON  In a case that has drawn international attention, Texas executed José E. Medellín on Tuesday night in defiance of an international court ruling and despite pleas from the Bush administration for a new hearing.

The execution came just before 10 p.m. Central time, shortly after the United States Supreme Court denied a last request for a reprieve. Protesters for and against the death penalty clamored in the rain outside the Huntsville Unit, about 70 miles north of Houston, where Mr. Medellín was executed by lethal injection.

“I’m sorry my actions caused you pain,” he said to the witnesses present. “I hope this brings you the closure that you seek. Never harbor hate.”

Gov. Rick Perry, a Republican, rejected calls from Mexico and Washington to delay the execution, citing the torture, rape and strangulation of two teenage girls in Houston 15 years ago as just cause for the death penalty.