In this paper, we propose a new version of the power Lindley distribution known as weighted power Lindley distribution. The different structural properties of the new model are studied such as moments, generating functions, likelihood ratio test, entropy measures and order statistics. The maximum likelihood estimators of the parameters and the Fisher's information matrix are discussed. It also provides more flexibility to analyse complex real data sets. Applications of the model to real data sets are provided using the new distribution, which shows that the weighted power Lindley distribution can be used quite effectively in analysing real life time data.