Conservative Anglicans say they are in neither schismatic nor sectarian, but are wanting to renew the denomination with the Bible at the centre.
In a statement at the end of G25 - a conference for leaders of the Biblically orthodox GAFCON (Global Anglican Future Conference) movement which had "a special focus on the next generation of global bishop" - they reject accusations that they undermine unity in the denomination globally.
"GAFCON has sometimes been criticised, even vilified, as a sectarian and schismatic movement that has sought to undermine the unity of the Anglican Communion. But that is simply untrue," the statement, from Plano, Texas, says.