In this paper, a generalization of the Gumbeldistribution as the cubic transmuted Gumbeldistribution basedonthecubicrank
ing transmutation map is introduced. It is shown that for some of the parameters, the proposed density function is mesokurtic
 and for others parameters the density function is platykurtic function. The statistical properties of new distribution, consist
 of survival function, hazard function, moments and moment generating function have been studied. The parameters of cubic
 transmuted Gumbel distribution are estimated using the maximum likelihood method. Also, the application of the cubic
 transmuted Gumbel distribution is shown with two numerical examples and compared with Gumbel distribution and trans
muted Gumbel distribution. Finally, it is shown that for a data set, the proposed cubic transmuted Gumbel distribution is
 better than Gumbel distribution and transmuted Gumbel distribution.