The Swans lie four points adrift of relegation zone after 4-1 home defeat by West Ham on Boxing Day, which sees them in 19th position in the Premier League.
It was their seventh loss in 11 games since Bradley became the first American ever to coach English top flight replacing Francesco Guidolin on 3 October.
Swansea City can confirm that the club has parted company with manager Bob Bradley.
He managed USA, Egypt and Stabaek in Norway before leaving Le Havre to succeed January appointment Guidolin.
The club tweeted: ‘Swansea City can confirm that the club has parted company with manager Bob Bradley.’
Alan Curtis and Paul Williams will take temporary charge, with their first match being against Bournemouth on New Year’s Eve.
