Dr Peter Jensen, the Archbishop of Sydney, has described an ultimatum sent to the US Episcopal Church as an "answer to prayer'.
The Anglican Communion has given the Americans a September deadline to stop blessing same-sex unions. It is likely they won't be invited to Lambeth " the key Anglican decision-making meeting " if they do not comply.
"It offers a chance to restore communion but on a biblical basis," Dr Jensen said. "It doesn't fudge the issue but calls on The Episcopal Church to take concrete action to restore the damage done."
The Primates of the world's 38 Anglican Provinces met in Tanzania from February 15 to 19 to resolve the tensions provoked by the consecration of openly gay Bishop Gene Robinson in 2003 and more recent decisions to bless same-sex unions.
In a statement issued in the final hour of the tense meeting, the Anglican Communion gave the US church a September 30 deadline to meet the request first issued in 2004.
"If the reassurances requested of the House of Bishops cannot in good conscience be given, the relationship between the Episcopal Church and the Anglican Communion as a whole remains damaged at best, and this has consequences for the full participation of the church in the life of the communion."
The symbolic leader of the world's 77 million Anglicans, Archbishop of Canterbury, Rowan Williams told Reuters it offered "an interim solution that certainly falls very short of resolving all the disputes'.
However, he added that the US church might not be invited to the 2008 Lambeth Conference " a once in a decade meeting of all Anglican bishops " if it did not comply.
Earlier, the meeting released a draft covenant that would allow the Anglican Communion to sever ties with churches that stepped out of line.
The draft covenant affirms the autonomy of the 38 Anglican provinces. But it states that in "extreme circumstances, where member churches choose not to fulfill the substance of the covenant' they will have relinquished their membership.
