In the four years before the Same-Sex Marriage Act came into force in March 2014, there were 277 civil partnerships formed in the area.
From 2014 to 2017, that number fell to 35.
Of the 35 civil partnerships formed during that time, 16 were male couples and 19 were female couples.
Civil partnerships have fallen out of favour across the whole of England and Wales.
Almost 24,000 couples entered civil partnerships between 2010-13, falling to just over 4,000 in the following four years.
A civil partnership is a legally recognised relationship which guarantees same-sex couples the same rights as married couples.
LGBT charity Stonewall has said that despite its dwindling popularity, the civil partnership is still an important institution and shouldn’t be abolished.
Paul Twocock, Stonewall campaigns, policy and research director, said: “The introduction of civil partnerships in 2005 was a huge milestone for LGBT equality.
“For the first time, same-sex couples could have their relationships legally recognised and secure the same benefits as married couples of different sexes.
“Many thousands of same-sex couples have also decided not to convert their civil partnership into a marriage..
Family justice organisation Resolution said that declining numbers could be a reflection that younger couples are now more likely to form cohabiting families rather than legally recognised relationships.
Graeme Fraser, of Resolution, said: “It’s entirely possible that same-sex couples nowadays also feel civil partnerships are, to an extent, discriminatory.
“In addition to reviewing the status of civil partnerships, the Government must prioritise the lack of awareness and lack of protections for all types of modern families - to truly reflect changes in how couples choose to live together.”
Currently, only same-sex couples can enter into civil partnerships – but in June 2018, the Supreme Court ruled that this was incompatible with the European Convention on Human Rights.
The court allowed heterosexual couple Rebecca Steinfeld and Charles Keidan to have a civil partnership instead of a marriage, after they argued that the law was discriminatory.
A Government Equalities Office spokesman said: “The Government is very aware of its legal obligations, and we recognise the sensitive and personal issues involved in this case. We are studying the court’s judgement carefully, and will respond in due course.”
Last year in England and Wales there were 908 new civil partnerships - a two per cent increase on the previous year.
Two-thirds of those partnerships were between men, and more than half of the couples were aged over 50.