Both Houses of Parliament have now approved The Civil Partnership (Opposite-sex Couples) Regulations 2019. The regulations will come into force no later than 2 December.
There is an accompanying Explanatory Memorandum.
This change applies only to England and Wales. It is for the Scottish Parliament to decide on whether to do this in Scotland too, but the Scottish Government has introduced a bill to do so.
The regulations do not permit opposite-sex couples who enter a civil partnership to subsequently convert their relationship into a marriage (as is the case for same-sex couples). The Government has conducted a separate consultation on conversion rights generally, but has not yet announced the outcome of that, or decided what actions it will take. Further regulations relating to this may be made in 2020.
The position of the Church of England on this new form of civil partnership has not yet been announced. I will update this post when it does. But it does seem unlikely that the policy statement of 2005 can be applied unchanged now.
There is further discussion of these regulations at Law and Religion UK: Civil partnerships, marriage registration, stillbirths – update.
And Russell Sandberg has written Religion and Opposite Sex Civil Partnerships: An Update.