|Paul Simon, Edie Brickell (NY Daily News)|
Police were called after a heated dispute at their house in Connecticut in April.
Brickell had told officers that her husband Simon had shoved her and she had slapped him.
Prosecutors told a judge on Tuesday they were declining to purse the case. Officers were called to the couple's home in New Caanan on 26 April, 2014.
Brickell told them she had confronted her husband of 22 years after he did something to "break her heart".
She did not provide any further details. The police report added Simon suffered a superficial cut to his ear and Brickell, who smelled of alcohol, had a bruise on her wrist.
Simon, 72, and Brickell, 48, had been scheduled to be in court on Tuesday, but did not appear.