It can be observed that the scatter plot of face-cleat in a coal seam data (Fisher 1993) is semicircular and asymmetric. Hence, there is a need to have asymmetric l-axial models to model such kind of data. In view of this, construction of new asymmetric l-axial models using the Marshall – Olkin transformation are presented in this chapter. This chapter is devoted to constructing stereographic l-axial generalized gamma distribution, Marshall – Olkin stereographic l-axial logistic distribution, offset l-axial beta distribution, sine-skewed l-axial von Mises distribution and wrapped l-axial Marshall – Olkin logistic distribution along with graphs of pdf, cdf and characteristic function of the above distributions are shown.