In 2011, Nadarja and Haqiqi introduced a new generalization of the exponential distribution called the NH distribution as an alternative model to the gamma, Weibull, and power exponential models. In this paper, a generalization of the NH distribution called the generalized exponential NH distribution is introduced and studied. The introduction of the model and the application of the proposed model in real data analysis will be discussed. We also evaluate the efficiency of our likelihood estimation method for estimating unknown parameters using Monte Carlo simulation.