The Cottagers have also revealed that Tomas Oral and Werner Leuthard have arrived at the west London side to become first team coach and conditioning coach, respectively.
There had been uncertainty about the futures of Meulensteen, Wilkins and Curbishley following last Friday's appointment of Felix Magath as manager.
Meulensteen had only replaced Martin Jol 12 weeks ago and Fulham are currently propping up the Premier League table, five points from safety.
Shortly after Magath's appointment, the Dutchman claimed the club had "hit the panic button on emotion and fear".
Also departing are technical director Curbishley and assistant head coach Wilkins.
A club statement read: "Fulham have officially announced the appointments of Tomas Oral as first-team coach and Werner Leuthard as conditioning coach, both reporting to new first-team manager Felix Magath, effective immediately.
"The club simultaneously made the formal announcement that Rene Meulensteen, Alan Curbishley, Ray Wilkins, Mick Priest and Jonathan Hill have departed Fulham. Terms of the parting are complete and confidential."
Fulham chairman Shahid Khan added: "I'm very grateful to Rene, Alan and Ray, as well as Mick and Jonathan, for their commitment to Fulham. Their efforts were admirable and appreciated, and I wish them the best.
"Felix has come to Fulham with purpose and exceptional confidence, and I know he's extremely pleased to have Tomas Oral and Werner Leuthard join him for the mission ahead."