China promotes a "One China" policy, meaning it sees Taiwan as a province of China and a prerequisite of diplomatic relations with China is not seeing Taiwan as a country.
China submitted its application to CPTPP on Thursday last week to New Zealand which administers the secretariat for the CPTPP.
The deal, formerly known as TPP, is a trade agreement among 11 countries – excluding the United States - and which was signed in 2018 after 10 years of negotiation.
Britain applied to join the CPTPP in February this year and each new member requires the consent of all parties: New Zealand, Singapore, Brunei, Chile, Peru, Australia, Vietnam, Malaysia, Canada, Mexico and Japan.
The UK's application is proceeding. The CPTPP Commission is the body which will decide whether to proceed with the next two applications and it is chaired by Japan this year.
It will be chaired by Singapore next year and New Zealand in 2023.
Trade Minister Damien O'Connor issued a statement in February welcoming the British application but he has been silent on China and Taiwan's applications.