The ordinary acceptance sampling plans are used to accept or reject the submitted product on the basis of random sample taken from the lot. This sampling scheme is used to test the item one by one. In practice, there are testers accommodating multiple items are available. In this situation, group acceptance sampling is used more efficiently. The basic purpose of group acceptance sampling plans is that it can reduce the cost and the time of the experiment than the ordinary acceptance sampling plans.The group acceptance sampling provides the strict inspection of the product under inspection before it can be release for the consumer''s use. In this study, different life time distributions (log- logistic distribution, inverse Rayleigh distribution,the Weibull distribution, gamma distribution) are used to develop the group acceptance sampling plan. The design parameters such as the acceptance number and sample size is determined such that given risks (producer and consumer) are satisfied. Extensive tables are provided for industrial use.