In this paper, we consider a new probability distribution for lifetime random variable: skew-generalized inverse Weibull distribution (SGIW). Single sampling plan for SGIWwhen the lifetime is truncated at a pre-terminate time is evaluated. The median lifetime of the test unit as the quality parameter is considered. The minimum sample size required to assure the specified median lifetime for fix the consumer's risk is discussed. The operating characteristic values for the single sampling plan is presented. Also, producer's risk is determined. Comparison between generalized inverse Weibull (GIW) distribution and skew-generalized inverse Weibull distribution is introduced. The tables are shown with an illustrative case. xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx