A new two-parameter truncated Lindley Gamma distribution (TLG) is proposed and its properties are
studied. These properties include; the behaviour of TLG density function and hazard rate function, moments and the
associated measures, reversed hazard function, mean residual life, Lorenz and Bonferroni curves. Point estimation of
the parameters using the maximum likelihood and method of moments. Moreover, the interval estimation is
investigated. Simulation schemes are carried out to examine the bias and mean square error of the estimators. Finally, a
real data application illustrates the performance of TLG and compared with some well- known distributions.