What is the UK equivalent of PMP?

There isn't really a UK equivalent of PMP®. Although many people think that PRINCE2 is equivalent to PMP®, a better comparison would be the APM PMQ. Like PMP®, the APM PMQ is based upon its own Body of Knowledge (APM BoK).

While the PMP® is widely recognised globally and especially in North America, PRINCE2 serves as the standard method for project management within the United Kingdom. It also has a significant presence in Europe, Australia, and other English-speaking regions.