Church leaders have been meeting in New Zealand for their biennial synod where various motions were debated.
A majority group of members supported a motion to allow bishops to authorise blessings of same-sex relationships.
However, Anglican churches in the Pacific opted out of the debate by passing a resolution that they would not vote on the issue.
The Diocese of Polynesia released a statement saying the "constitutions and cultures" of its nations were reflected in its position on the issue.