In Florida, Darius Kimbrough, 40, died from lethal injection after the US Supreme Court rejected his final appeal, said Misty Cash, a spokeswoman for the Florida Department of Corrections.
He was convicted and sentenced to death for the rape and killing of a 28-year-old woman in 1991 in her apartment in Orange County.
The anaesthetic drug he received, midazolam, was used for only the second time in Florida.
As stocks of lethal injection drugs are depleted, most US states that have the death penalty are using new ones or turning to new suppliers.
For his last meal, Kimbrough was served two slices of pizza, a fried green tomato, fried chicken, chicken gizzards, chocolate chip ice cream and fruit punch, and he finished most of his meal. He made no final statement, Cash said.
In Texas, Jamie McCoskey, 49, was executed in the town of Huntsville, said Jason Clark, spokesman for the Texas justice department.
He was administered a lethal injection of pentobarbital, a veterinary product that Texas obtained from non-certified suppliers, after official ones refused to provide it for executing people.
The two men were the 33rd and 34th people executed so far this year in the United States.
Kimbrough was the seventh in Florida, a record since 1984, when eight men were put to death.
Only Texas has surpassed Florida this year, with McCoskey the 15th person to be put to death.
Barring a stay of execution, both states are scheduled to carry out another execution on December 3.
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