QCD corrections to the penguin induced charmless inclusiveB decays are performed to an improved leading-log approximation. For processb→sqq (q=uds) andbb→ss, four previous missed 4-quark operators are included to make a complete leading log QCD corrected result. Furthermore, part of the next-leading log effect was also given for the above processes and processb→sg. In comparison to previous QCD corrected calculations by Grigjanis et al., the inclusive decay rates for processb→sqq (q=ud),b→ssq andbq→sq are suppressed 10%, 14% and 18% respectively. The branching ratio of processb→sg is enhanced by 2–3 orders, the result for this process is in agreement with the result of Ciuchini et al.