The　algorithm　proposed　in　[Z.　Wang,　D.　Du,　A.F.　Gabor,　D.　Xu,　An　approximation　algorithm　for　the　k-level　stochastic　facility　location　problem,　Operations　Research　Letters　38　(2010)　386-389]　does　not　achieve　an　approximation　guarantee　of　3　as　claimed　in　Theorem　3.2.　A　slightly　modified　algorithm　is　proposed　that　achieves　an　approximation　guarantee　of　4.　(c)　2011　Elsevier　B.V.　All　rights　reserved.