Air India faces a leadership vacuum and mounting financial losses as it struggles to recover from the crash.
Wilson, whose term was set to end in 2027, will remain CEO and MD until a successor is appointed.
Campaigners say they have evidence the plane had previously suffered a series of technical failures, including a fire.
A judge in India's Supreme Court has insisted that nobody can blame the aircraft's captain.
Viswashkumar Ramesh describes the pain and anguish he is enduring despite surviving the disaster.
Miten Patel claims he has not "even had an acknowledgement" despite writing to the Foreign Office.
Judges say India's aviation body was irresponsible to suggest through leaks to the media that pilot error had caused the disaster.
They accuse the manufacturers of doing "nothing" despite being aware of the plane's risks.
