In this investigation we studied fuzzy quasi-prime, weakly fuzzy quasi-prime, fuzzy completely prime and weakly fuzzy completely prime ideals in nLA-rings. Some characterizations of fuzzy quasi-prime and weakly fuzzy quasi-prime ideals were obtained. Moreover, we investigated relationships between fuzzy completely prime (weakly fuzzy completely prime) and fuzzy quasi-prime (weakly fuzzy quasi-prime) ideals in nLA-rings.