We　study　the　fault-tolerant　facility　location　problem　with　penalties　(FTFLPWP).　We　present　an　LP-rounding　4-approximation　algorithm.　Then　we　apply　the　randomized　rounding　technique　to　improve　the　approximation　to　3.16,　which　is　further　improved　to　2.408　by　the　greedy　augmentation　technique.　(C)　2019　Elsevier　B.V.　All　rights　reserved.