Earlier this week, the tabloid claimed Amal Alamuddin's mother, Baria, wished her daughter to be married within the relatively small Druze sect, reported BBC online.
Clooney, 53, said the report published by the tabloid had been "negligent" in "exploit(ing) religious differences where none exist".
"Freedom of speech can be an inconvenience to (his) private life. We have family members all over the world, and the idea that someone would inflame any part of that world for the sole reason of selling papers should be criminal," he said.
The 'Monuments Men' got engagement to Alamuddin, a London-based barrister, in April this year.