This paper proposes a new distribution named the negative binomial-weighted Lindley. The study uses the maximum likelihood estimation to estimate the parameters of the proposed distribution and compares the performance of the new method with other distributions. The study finds that the negative binomial-weighted Lindley distribution, obtained by the mixing the negative binomial distribution with the weighted Lindley distribution is another mixed negative binomial distribution and may provide an appropriate fit for data estimation with overdispersion. Some characteristics of the proposed distribution, such as mean and variance are also derived.