In this paper，it is proved that there is a separable fuzzy stochastic process {B_t(ω)，t∈T} which is equivalent to a fuzzy stochastic process {A_t(ω)，t∈T}. Moreover，if a fuzzy stochastic process {A_t(ω)，t∈T} is stochastically continuous，then the existence of a separable and measurable fuzzy stochastic process {C_t(ω)，t∈T} that is equivalent to {A_t(ω)， t∈T} is proved.