In the United States, the Council for the Accreditation of Educator Preparation (CAEP) is the most prominent accrediting body, although there are also state-level accrediting agencies. CAEP itself accredits other organizations that can then accredit individual programs.
Other countries have their own national or regional accrediting bodies. For example, in Canada, accreditation is handled at the provincial level. The UK has the Teacher Regulation Agency (TRA) which sets standards but doesn't directly accredit programs, while individual programs often undergo subject specific quality assurance processes.
Therefore, the answer depends heavily on the specific location. You would need to specify the country (and potentially state/province) to get a precise answer.