In this paper, L-fuzzy soft subsemihypergroups, L-fuzzy soft left (right, twosided) hyperideal of a semihypergroup S over U are defined, where L denotes a complete bounded distributive lattice. Furthermore, L-fuzzy soft prime (semiprime) hyperideals of S over U are studied. Some characterizations of those semihypergroups for which each hyperideal is prime (semiprime) are also given.