In this study, brown algae-modified biomass Padina sanctae crucis was used for copper (Cu(II)) and cobalt (Co(II)) heavy metal ions adsorption in synthetic wastewater. The effects of solution pH and adsorption efficiency for Cu(II) and Co(II) removal from aqueous solutions were studied. In order to study the kinetic behavior of adsorption, pseudo-first-order, pseudo-second-order kinetic models, liquid film penetration, and Ritchie second-order models were used. The results showed that the pseudo-second-order kinetic model was able to describe adsorbent behavior in comparison to the other models. Moreover, in order to study adsorbent equilibrium behavior, Langmuir and Freundlich isothermal models were used. Based on the Langmuir model, the adsorption capacity of Co(II) and Cu(II) was determined and their values were 13.73 and 13.996 mg/g, respectively. It was shown that both metal ions adsorption process is favorable and adsorption is physical. In this research, thermodynamic parameters were also studied in order to determine Gibbs free energy for both metal ions which were negative, indicating that metal ions adsorption process is spontaneous and the degree of self-adsorption increases as temperature increases.