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Label Element Value
Prospectus: rr_ProspectusTable  
Document Type dei_DocumentType 485BPOS
Document Period End Date dei_DocumentPeriodEndDate Sep. 30, 2021
Registrant Name dei_EntityRegistrantName Morgan Stanley Institutional Fund Trust
Central Index Key dei_EntityCentralIndexKey 0000741375
Entity Inv Company Type dei_EntityInvCompanyType N-1A
Amendment Flag dei_AmendmentFlag false
Document Creation Date dei_DocumentCreationDate Jan. 28, 2022
Document Effective Date dei_DocumentEffectiveDate Jan. 28, 2022
Prospectus Date rr_ProspectusDate Jan. 28, 2022