Adsorption of gold, rhodium, platinium, and palladium species containing chlorine ions species onto commercial N-{2-[Bis(2-aminoethyl)amino]ethyl}aminomethyl–polystyrene polymer beads (TRIS) were investigated. The influence of the pH, initial metal ion concentration, and contact time on the adsorption performance was examined in a batch adsorption experiment. Langmuir, Modified Langmuir, Freundlich and Freundlich, Dubinin–Radushkevich isotherm model variables are calculated. The Langmuir monolayer adsorption capacities of the Pd (II), and Au (III) chlorine ions species were found to be 204.5, and 168.5 mg/g, respectively. The two metal adsorption kinetics fit the pseudo-second order kinetic models. In thermodynamic calculations, the choice of different equilibrium constant and withal using dimension containing constant usage are an important problem in the field. To overcome these problems, the Modified Langmuir isotherm equilibrium constant is used at determination of thermodynamic parameters. Adsorption mechanism steps were characterized by using FT-IR, SEM, and EDS. The adsorbent is interacted with each metal ions in HCl solution electrostatic interaction and surface complex formation between the amine groups. The calculation of the thermodynamic parameters using the dimensionless modified Langmuir equilibrium constant calculated more satisfying and more reliable way. All thermodynamic parameters suggested that Pd (II) and Au (III) adsorptions onto TRIS beads was a spontaneous, physisorption.