This paper tries to implement Yeo-Johnson and Manly transformations in a quantile regression analysis while using the Chamberlain and Buchinsky two stage estimator to estimate the transformation parameter for both methods. A comparison was done between the two methods.  The comparison was based on the bias of the estimates, AIC and MSE. The results of this analysis revealed that at all quantiles considered (0.05, 0.25, 0.5, 0.75 and 0.95), the Yeo-Johnson transformed quantile regression performed better than the Manly transformed quantile regression based on the AIC and MSE. The bias of the estimates also indicated that the Yeo-Johnson transformed Quantile regression had better results except at the 25th quantile where the Manly method had a better result.