Ball's resignation will be effective from February 29 next year, it said.
Jet Airways had appointed Ball as its CEO in May last year.
Ball has quit the airline to pursue a new opportunity, in Europe for family reasons, it said.
"Cramer has, during his tenure, made a significant contribution in the journey to turn around Jet Airways. The company recorded two consecutive profitable quarters after a gap of eight years," Jet Airways Chairman Naresh Goyal said in release.
"I am honoured to have been able to play a part in the turnaround of Jet Airways, as it moves towards long-term sustainable profitability... I am pleased with the progress that has been made," Ball said on his resignation.
