Green, 24, carded a two-over 73, just above the cut, set at a total of three-over 145 on Friday. He finished joint 65th to be among 79 golfers who made it into the weekend rounds.
Green is making his first appearance at the Open, and was the second Malaysian to make the cut. In 2010, Danny Chia finished in joint 55th place, at the tournament held at St Andrews.
He was quoted by The Star as saying: “Making the cut in my first major, obviously I am really happy. I am happy with the way I coped with myself. I kind of know what to do and I knew I can’t push it too much. It’s been a long time since I last felt so nervous coming down the stretch but I liked the challenge.”
Zach Johnson and Kevin Kisner of the United States are joint leaders after the second round. Johnson carded 67 and 69 for a total of 146, while Kisner recorded 66 and 70.