ICA traces its foundation in 1933-1936 when the Chinese families in Binondo requested the MIC sisters to open a school so that their children who have been baptized in the Catholic Church could be followed up in the practice or living out of their faith. The School moved seven (7) times from one place to another to accommodate its growing population. At the invitation of the Jesuits who were then building Xavier School sometime in 1958 in the newly opened subdivision in Greenhills, the MIC Sisters also constructed a building that was completed in 1960; thus, the Sisters were ready to receive the Chinese-Filipino students from ICA-Intramuros, which continued to operate the elementary department and kindergarten. Then in 1975, ICA-Intramuros was fused with ICA- Greenhills. At present ICA-Greenhills has a total population of 2,944. Originally, ICA was considered an Anglo-Chinese School with a double curriculum (Chinese and English). In 1954, ICA became a Filipino school offering the Chinese Language Arts Program as an essential part of the curriculum. ICA undertook the accreditation process in SY 1983-84 and received full-accredited status in 1986. It was reaccredited in 1989, 1994, 1999 and 2004, 2009, 2015 and 2020. The HS department was granted Level III Accreditation by the Federation of Accrediting Agencies of the Philippines (FAAP) in December 2009 while the Grade School Department was granted Level III Accreditation in April 2011. In 2019, ICA received the Certificate of Authorization to offer Diploma Programme of IBO.