Abstarct: In this project, MXene was synthesized as a two-dimensional nanomaterial from the family of transition mextal carbide materials, nitrides or carbonitrides, due to its high surface area and porosity, chemical stability and compatibility with the environment. In order to increase the properties of MXene, including high surface activity, the surface of MXene was modified by an organic substance called tannic acid. Then the prepared composite was characterized with the help of analyzes such as Fourier transform infrared spectroscopy (FT-IR), field emission scanning electron microscope (FESEM), X-ray energy dispersive spectrum analysis (EDX). The efficiency of the synthesized adsorbent was investigated for the simultaneous removal of two dyes, crystal violet and methylene blue. Multivariate calibration with the partial least square (PLS) modeling method was used to resolve the spectrum overlap that methylene blue creates at the maximum absorption wavelength of crystal violet. Optimization of the simultaneous removal of crystal violet and methylene blue dyes was carried out by face-centered centeral composite design (FCCCD) method with response surface technique, and the effect of test parameters such as initial pH, adsorbent dose and initial concentration of dyes was investigated. The optimal level of the effective parameters was obtained as the amount of adsorbent dose of 0.04 grams, the initial concentration of methylene blue and crystal violet dyes each 0.5 mg/liter and pH=8. Under optimal conditions, the highest removal efficiency of crystal violet and methylene blue reached 75.7% and 71.8%, respectively. Kinetic studies showed that the elimination was more consistent with the pseudo-second-order model.Thermodynamic parameters such as ΔH, ΔS and ΔG were also investigated, which describe the exothermic and spontaneity of the surface adsorption process along with the reduction of disorder in the adsorption-solution surface. Adsorbent recovery studies were also conducted in order to evaluate the regeneration of the adsorption process. The removal efficiency by the adsorbent after ten times of recovery for the crystal violet dye did not change, while for the methylene blue dye, the efficiency decreased by 24%.