Analysis and modeling the‎ ​‎h​igh-dimensional data is one of the most challenging problems faced by the world nowaday‎. ‎Interpretation of such data is not easy and needs to be applied to modern methods‎. The penalized methods are one of the most popular ways to analyze the high-dimensional data‎. ‎Also‎, ‎the regression models and their analysis are affected by the outliers seriously‎. The least trimmed squares method is one of the best robust approaches to solve the corruptive influence of the outliers‎. ‎Semiparametric models‎, ‎which are a combination of both parametric and nonparametric models‎, ‎are very flexible models‎. ‎They are useful when the model contains both parametric and nonparametric parts‎. ‎The main purpose of this paper is to analyze semiparametric models in high-dimensional data with the presence of outliers using the robust sparse Lasso approach‎. ‎Finally‎, ‎the performance of the proposed estimator is examined using a real data analysis about production of vitamin B2‎.