New generalized distributions namely Topp-Leone-G Power Series class of distributions, Marshall-Olkin-Exponentiated Odd Exponential Half Logistic-G family of distributions, Exponentiated Odd Exponential Half Logistic-G Power Series class of distributions and Marshall-Olkin-Type II-Topp-Leone-G family of distributions are presented. Properties of these generalized distributions including series expansion of density functions, hazard functions, quantile functions, moments, conditional moments, mean deviations, Bonferroni and Lorenz curves, Renyi entropy and distribution of order statistics are discussed. ´ The maximum likelihood estimates of the model parameters are given and simulation studies are performed to assess the consistency of the model parameters. Real data sets are used on the presented models to illustrate their usefulness in comparison to some non-nested distributions.