This book set out to look over the cosmological properties of the Universe from the Higher dimensional point of view by various aspects of measurement and different computations which improved our predicted results. This book mainly deals with the higher-dimensional Universe in presence of different dark energy. A few dark energy models have been considered for this purpose. Different cosmological parameters are evaluated for that higher dimensional scenario. Statefinder diagnostics play a very important role here. Another very significant study of observational data analysis which has been discussed here to compare our theoretical proposed model with the observed data. The observational study discovered the constraint of allowed composition of matter-energy by constraining the range of the values of the parameters for a physically viable dark energy model.