The works have been on loan to the museum since 2009 and on show in the specially designed bilingual Room 95.
Sir Percival David was born into a wealthy family in Bombay in 1892 and inherited a baronetcy from his father, as well as ownership of the family company.
The businessman moved to London in 1914 from where he began to collect large amounts of Chinese art and books.
Trustees of the Sir Percival David Foundation said he had wanted his private collection to be used to inform and inspire people.
Dr Cullinan said he was “humbled by the generosity of the trustees of the Sir Percival David Foundation”.
He added: “These celebrated objects add a special dimension to our own collection and together offer scholars, researchers and visitors around the world the incredible opportunity to study and enjoy the very best examples of Chinese craftsmanship anywhere in existence.”