The flight was diverted to Lyon, the airline said, following "the continued disruptive behavior of two female passengers," according to an ABC report filed Thursday.
The apparently pasted women, who were drinking Malibu rum, reportedly swore at children, threatened the family of a British Airways flight attendant and tried to storm the cockpit before hiding in the lavatory for a smoke.
The Sun, a British tabloid, quoted a passenger as saying, "They decided they were going to meet the captain and marched towards the cockpit. It was very frightening."
"Our customers and flying crew deserve a safe and enjoyable flight experience," an airline spokesperson said. "We do not tolerate any disruptive behavior onboard our flights.
"They were handed over to the custody of the French police and detained upon arrival in Lyon.
It was not clear what charges if any were filed against the allegedly inebriated pair.