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In this paper, we propose the truncated power Lomax distribution. Fundamental properties of the new distribution, such as moments, moment generating and characteristic functions, quantile function, incomplete moments, Lorenz and Bonferroni curves, order statistics and Re ́nyi entropy, are investigated. Maximum likelihood estimators are derived in case of complete sample, Type I and Type II censored samples. An approximate confidence interval of the parameters is obtained for large sample sizes. Simulation issue is executed to investigate the performance of estimates. The potential utility of the truncated power Lomax model is exhibited through flood data. The application indicates that the truncated power Lomax distribution can give better fits than some other corresponding distributions.

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