In this paper, we made an attempt to construct a new Semicircular model, we call this as “StereographicSemicircular Quasi Lindleydistribution,” by applying modified inverse Stereographic projection on Quasi Lindley distribution (Rama and Mishra (2013)) for modeling semicircular data. Probability density and cumulative distribution functions of said model are derived and their graphs are plotted for various values of parameters. The first two trigonometric moments are derived and the proposed model is extended for l-axial data also.