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This paper consider trinomial group testing concerned with classica-tion ofN given units into one ofk disjoint categories. In this paper, wepropose Bayesian inference for estimating individual category proportionsusing the trinomial group testing model proposed by Bar-Levet al.(2005).We compared a relative ecience (RE) based on the mean squared error(MSE) of MLE and Bayes estimators with various prior information. Theimpact of dierent prior specications on the estimates is also investigatedusing selected prior distribution. The impact of dierent priors on the Bayesestimates is modest when the sample size and group size are large.