ASTA Full Form. Full Meaning of ASTA Find long form and abbreviation, slang or definition of ASTA. What does ASTA mean? What does ASTA stand for? We are providing world largest and most comprehensive acronyms, names, abbreviations database directory on the Internet. Our data base contains more than 8,00,000 terms abbreviations and acronyms. You can also search unique terms more than 4,00,000 general Comprehensive words.