In this paper, we make a statistical inference for the Gompertz distribution based on multiply Type-I censored
data, where we determine a censoring time point for each unit in the life time test. Estimation of the parameters is obtained
using maximum likelihood method and Bayesian method, also the asymptotic condence intervals for the parameters are
constructed based on the approximate of the Fisher information matrix. The necessary condition for existence and uniqueness
of the maximum likelihood estimators is discussed. The Bayesian estimates are obtained depending on the squared error loss
function, linear exponential loss function and the generalized entropy loss function. The One-sample Bayesian prediction
intervals are constructed for the unobserved lifetimes in the same sample. A real data example is presented to illustrate the
methods of inference developed here. Finally, the simulation study is executed to compare the performance of the proposed
methods.