In this paper, we present  a negative binomial- two parameter Lindley (NB-2PL) distribution which is discrete distribution. Several statistical properties of NB- 2PL distribution are explored, such as the probability mass function(pmf), factorial moments, expected value, variance, skewness and kurtosis. The Negative binomial - Lindley distribution is special sub-distribution of NB- 2PL distribution. Maximum likelihood estimation of the parameters are investigated. An application of the distribution to a real data set is presented finally and compared with the fit attained by some other well-known distributions for count data.