The '4 Minutes' singer has infuriated Karen George – who lives above Madonna in the apartment block overlooking Central Park – with her alleged 'blaring music and stomping'.
George has filed a lawsuit against the 51-year-old pop star in Manhattan Supreme Court, complaining of 'unreasonably high-decibel, amplified music and vibrations pouring through walls, ceilings and radiators'.
The lawsuit states: 'Madonna and one or more of her invited guests repeatedly dance and train... to unreasonably high-decibel, amplified music, causing noise and vibration to pour through the walls, ceilings and radiators.
'Ms. George has been forced to endure blaring music, stomping and shaking walls for approximately one and a half to three hours each day.'
The managers of the apartment block – in which Madonna owns a £4 million property - say they have already threatened Madonna with eviction if she doesn't curb the noise.
Complaints about the noise were first made over a year ago as Madonna prepared for her 'Sticky and Sweet' world tour.
The 'Material Girl' singer bought a penthouse apartment in the block in the early 90s for more than £2 million, and purchased the £4 million property on the seventh floor last year.
The new home was originally intended to be an office for ex-husband Guy Ritchie.
A spokesman for the singer is yet to comment on the claims.