The orders have been carried out at gunpoint by a group called Al Shabaab, who are running the streets of Mogadishu.
Women are publicly inspected to see if they have natural firmness or if there is assistance from a bra.
The Daily Mail has reported that some women have been publicly whipped for wearing hidden undergarments, with insurgents claiming that it is a "deceptive" act to violate Islam by wearing bras.
Al Shabaab is attempting to impose a strict interpretation of Sharia law over all Somalia.
They have also been known to whip men caught without a beard.
The group has also banned movies, most musical events, dancing at wedding ceremonies and soccer playing.
Women in Somalia forced by hardliners to shake their breasts