His father, Geraint, found the news "difficult at first".
"(but) my love for him and his love for me has not changed one bit."
Owens went public in 2007, and said the Welsh Rugby Union had given him great support.
Owens said: "Unless you are happy with who you are, you cannot excel and be the best you can be at whatever you are doing. You cannot enjoy life if you are not happy within yourself.
"Refereeing that World Cup final between Australia and New Zealand in front of 85,000 people and the millions of people watching at home, scrutinising every single decision you make under a huge amount of pressure, was nothing compared to the challenge of accepting who I was."