The full name of TOEFL is the international English test system, and it is also one of the famous international English standardized proficiency tests.
TOEFL is an "English test for foreign students from non-English-speaking countries", which is a real language ability under an academic language task developed by educational testing service institutions. It reflects the examiner's real language ability in academic English by examining listening, speaking, reading and writing, and is also used for undergraduate and graduate applications.
IELTS is an English proficiency test jointly managed by British Council for Cultural Education, Cambridge University Examinations Board and Australian Agency for International Education and Development. It is for those who want to study or work in countries and regions where English is the language of communication. It is divided into academic tests, commonly known as (a) and training tests (g). IELTS also tests English ability from four aspects: listening, speaking, reading and writing.