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Label Element Value
Prospectus: rr_ProspectusTable  
Document Type dei_DocumentType 485BPOS
Document Period End Date dei_DocumentPeriodEndDate Dec. 31, 2018
Registrant Name dei_EntityRegistrantName MORGAN STANLEY INSTITUTIONAL FUND INC
Central Index Key dei_EntityCentralIndexKey 0000836487
Amendment Flag dei_AmendmentFlag false
Document Creation Date dei_DocumentCreationDate Oct. 22, 2019
Document Effective Date dei_DocumentEffectiveDate Oct. 22, 2019
Prospectus Date rr_ProspectusDate Oct. 22, 2019