To extend the application fields of the present research,the concept of max-product fuzzy pushdown automaton was given on the basis of the study of max-product fuzzy grammars and automata,and the relationships between a max-product fuzzy context-free grammar and a max-product fuzzy pushdown automaton were investigated.The research shows that if and only if a fuzzy language is produced by a max-product fuzzy context-free grammar,it can be accepted by a max-product fuzzy pushdown automaton,so the max-product fuzzy context-free language can be recognized automatically.