The women, believed to be in their 40s, were due to fly from Southampton in England to La Rochelle in the south of France last week.
It is believed the women were on their way to a wedding and used felt-tip pen to write about the occasion on the outside of the plane, The Telegraph reported.
They were asked to remove the writing but it would not come off, so they were reported to the authorities.
"In the interests of maintaining safety and security for the protection of its passengers and crew, Flybe has a zero tolerance policy towards any potential criminal behaviour.
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"The incidents were therefore reported to the authorities who attended the aircraft and took the perpetrators away from questioning," he said.
The women and their baggage were removed from the plane and the flight then departed on schedule.