At least two members of Law Society staff have made formal complaints of bullying and harassment under the body's "Dignity at Work" policy, through the MSF trade union.
Two workers at the Law Society are understood to have left or are in the process of changing jobs because of the alleged harassment.
Bahl has denied all the charges against her and will remain in her post while the inquiry takes place, despite calls at Monday's council meeting for her to stand down while the allegations are investigated.
Bahl is reportedly considering her own claim for harassment against the Law Society over the way she has been treated.
The investigation is due to be conducted soon and none of the parties will comment further until it is completed