The 54-year-old will return home after four years in charge following the World Cup Grand Final in Copenhagen on September 26.
He said: "I have had a wonderful time working in Britain, but I just think the time is right for me to go home to my family in Korea.
"There is three years to go until the Olympic Games, and I hope I have laid the foundations for my successor to come in and help British archers win medals at the London Games."
British finalists Simon Terry and Nicky Hunt will both be competing in Copenhagen next month and Suk predicted that more top archers will be joining them before the London Olympics.
He said: "There are some very talented archers in this country who are already established among the best in the world, and we have some very good youngsters coming through, so it is an exciting time."
Suk was appointed in May 2005 after 14 years working in Italy, and headed up the launch of the Archery GB Performance Unit.
Under his guidance, British archers have featured in every World Cup Grand Final since the competition was launched in 2006, winning three medals at the World Championships in Leipzig two years ago.
He has also supported the Paralympic team, who brought home four medals in Beijing, and four more from the recent World Championships in the Czech Republic.
David Sherratt, the chief executive of Archery GB, said: "Peter has made a marvellous contribution to the continued development of archery in this country, and we are sad to see him go.
"The marvellous results we have had at so many tournaments around the world speak for itself, and the progress we have made reflects on the excellent job he has done."
Sara Symington, who took over as performance director of Archery GB earlier this year, said: "I have only been involved for a few months, but I have learnt so much from Peter in such a short time.
"His legacy to British archery is immense - he revolutionised the coaching and preparation of our archers, from diet to fitness to technique.
"He will be a hard act to follow, but we will make sure we find the right person to build on the foundations that Peter has put down, and that we are among the likely medal winners at Lord's, during the London Olympics."