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Label Element Value
Risk/Return: rr_RiskReturnAbstract  
Document Type dei_DocumentType 485BPOS
Document Period End Date dei_DocumentPeriodEndDate Nov. 30, 2024
Registrant Name dei_EntityRegistrantName BNY Mellon New York AMT-Free Municipal Bond Fund
Entity Central Index Key dei_EntityCentralIndexKey 0000797920
Amendment Flag dei_AmendmentFlag false
Document Creation Date dei_DocumentCreationDate Mar. 27, 2025
Document Effective Date dei_DocumentEffectiveDate Mar. 31, 2025
EntityInvCompanyType dei_EntityInvCompanyType N-1A
Prospectus Date rr_ProspectusDate Mar. 31, 2025
BNY Mellon New York AMT-Free Municipal Bond Fund | A  
Risk/Return: rr_RiskReturnAbstract  
Trading Symbol dei_TradingSymbol PSNYX
BNY Mellon New York AMT-Free Municipal Bond Fund | C  
Risk/Return: rr_RiskReturnAbstract  
Trading Symbol dei_TradingSymbol PNYCX
BNY Mellon New York AMT-Free Municipal Bond Fund | I  
Risk/Return: rr_RiskReturnAbstract  
Trading Symbol dei_TradingSymbol DNYIX
BNY Mellon New York AMT-Free Municipal Bond Fund | Y  
Risk/Return: rr_RiskReturnAbstract  
Trading Symbol dei_TradingSymbol DNYYX
BNY Mellon New York AMT-Free Municipal Bond Fund | Z  
Risk/Return: rr_RiskReturnAbstract  
Trading Symbol dei_TradingSymbol DNYAX