St. Ambrose Altar Society is a member of the Archdiocese Council of Catholic Women. There are nine deaneries in the Archdiocese of Galveston-Houston affliated with ACCW. St. Ambrose is part of the Northwest Dearnery.

All Catholic Organizations of women recognized by ecclesiastical authority shall be eligible for membership in this Federation.

The purpose of the ACCW is to unite Catholic organizations of women in purpose, direction and action in religious, educational, social and economic fields.

Every April , ACCW elects seven officers. Two additional officers and Commissions Chairwomen are appointed by the President with board approval. Representatives include Catholic Daughters, V.A. Hospital, Texas Marathon for Non-Public Education, Homeless project, Texas Catholic Committee on Aging, and the Catholic Clerical Student Fund.