He will be replaced by CA Director Steven Drake, who will immediately take up the role of CEO, the organisation said in a statement.
Green joined CA in late 2014 and took up the challenge of implementing the major structural changes and financial improvements required to provide stability to the national governing body.
CA said that under his leadership, the sport had significantly improved its financial position and implemented a new strategic vision, CA’s Strategy 2020, which provides a roadmap for success and sets the focus for the years leading into the Tokyo 2020 Olympics.
Green said he was honoured to have been able to contribute to the rebuilding of CA and its position as a leading National Sporting Organisation.
“I am extremely proud of the progress and achievements during my time as CEO, and pleased that Steve will inherit a strong national federation," he said.
“I have seen enormous and positive change over the past three years; it is now timely for me to take on a new professional challenge and I have accepted an opportunity in the private sector.”
CA Chair Steve Bracks said that Green has provided outstanding leadership and strength during his time as CEO, particularly given the difficult financial position that he inherited.
“I am delighted that CA is back in a sound position and ready to grow to its next phase," Bracks said.
Drake will commence as CEO immediately, with Green remaining at CA for a short period of time to ensure a successful transition.