Michael Laudrup was appointed manager of Swansea City in the summer of 2012.
He took over the position from Brendan Rodgers, having previously managed at Brondby, Getafe, Spartak Moscow and Real Mallorca.
Laudrup's departure comes four days before the club take on Cardiff City in a crucial derby at the Liberty Stadium.
More top news
Sammy-Jo Davies, 19, died when a mini-bus van crashed in Aberdare in the early hours of Monday morning.
Researchers at Glyndwr University say using extract of prawn shell could pave the way for more environmentally friendly beauty products.
Sunny, summery days feel like a long time ago now! If you are brave enough to head to the beach today, just be aware of high waves.