The phrase "approve the execution of" is correct and usable in written English.
It can be used in contexts where formal approval is needed for carrying out a specific action or task, often in legal, business, or project management settings.
Example: "The board will meet next week to approve the execution of the new marketing strategy."
Alternatives: "authorize the implementation of" or "sanction the carrying out of".
After President George W. Bush approved the execution (McVeigh was a federal inmate and federal law dictates that the President must approve the execution of federal prisoners), he was executed by lethal injection at the Federal Correctional Complex, Terre Haute in Terre Haute, Indiana, on June 11.
A judge must still approve the execution of the secret search warrants.
Clinton twice vetoed legislation that would have banned late-term abortion, and famously interrupted his election campaign in 1992 to approve the execution of a mentally incapacitated prisoner in Arkansas.
Eight years ago Bill Clinton, then the governor of Arkansas, flew home in the midst of his presidential campaign to approve the execution of a man so brain-damaged that he saved the dessert from his final meal to eat later.
As Governor, Bill Clinton flew back to Arkansas in the midst of his 1992 Presidential campaign to approve the execution of Ricky Ray Rector, a man so brain-damaged that he put aside the dessert of his last meal to eat later.
From Cuba, Luciano approved the execution of Bugsy Siegel for looting the syndicate's money building the Flamingo Hotel in Las Vegas.
The two pardons come a week after Mr. Bush approved the execution of Oliver Cruz, a convicted rapist and murderer deemed mentally retarded by defense psychologists.
When Bill Clinton approved the execution of a mentally incompetent Arkansas killer in 1992, no comedian would have touched the story with a barge pole.
There was incontrovertible proof that Kesselring had approved the execution of the OSS commandos and had subsequently concealed evidence of that act.
By contrast, when Bill Clinton was Governor of Arkansas, he approved the execution of Rickey Ray Rector, a murderer whose own suicide attempt by shooting had destroyed much of his brain: on the evening of his death, by one account, he asked that his pecan pie be set aside so he could enjoy a snack before bed.
He has also approved the execution of a man whose lawyer suffered from mental illness and was repeatedly disciplined; a man involved in a fatal robbery who did not kill the victim; and a man who was 17 at the time of a murder and received clemency recommendations from the trial judge and several legislators.
