Final answer:
The Council on Social Work Education and National Association of Social Workers are two key organizations responsible for accrediting and providing credentials to social workers.
Step-by-step explanation:
Two organizations responsible for the accreditation of social workers are the Council on Social Work Education (CSWE) and the National Association of Social Workers (NASW). The CSWE is the primary accrediting body for social work education in the United States, ensuring that social work programs meet the quality standards necessary to train competent social work professionals. Meanwhile, the NASW is a membership organization that promotes, develops, and protects the practice of social work and social workers, and also offers professional credentials that recognize the expertise of social workers.