In this paper, we prove the boundedness of generalized fractional integral operators I ρ in the vanishing generalized weighted Morrey-type spaces, such as vanishing generalized weighted local Morrey spaces and vanishing generalized weighted global Morrey spaces by using weighted L p estimates over balls. In more detail, we obtain the Spanne-type boundedness of the generalized fractional integral operators I ρ in the vanishing generalized weighted local Morrey spaces with w q ∈ A 1+ q p ′ for 1 < p < q < ∞, and from the vanishing generalized weighted local Morrey spaces to the vanishing generalized weighted weak local Morrey spaces with w ∈ A 1,q for p = 1, 1 < q < ∞. We also prove the Adams-type boundedness of the generalized fractional integral operators I ρ in the vanishing generalized weighted global Morrey spaces with w ∈ A p,q for 1 < p < q < ∞ and from the vanishing generalized weighted global Morrey spaces to the vanishing generalized weighted weak global Morrey spaces with w ∈ A 1,q for p = 1, 1 < q < ∞. The our all weight functions belong to Muckenhoupt-Weeden classes A p,q .