In the present study, TW/MnFe2O4 composite (MTW) was synthesized and estimated as an effective biosorbent for removing As (III) and As(V) from wastewater. Physicochemical analysis of composite was performed through SEM–EDX. 86.615 and 83.478% removal efficiency were obtained by composite dosage of 2 g/L at contact time 120 min at temperature 30 °C and pH 7.0 and 4.0 for As(III) and As(V), respectively. Kinetic results study showed that Brouers–Weron–Sotolongo and Ritchie second-order for As(III) and Brouers–Weron–Sotolongo model for As(V) were capable to describe an accurate explanation of adsorption kinetic. Applicability of mechanistic models in the current study exposed that the rate-controlling step in the biosorption of both As(III) and As(V) on the surface of composite was film diffusion rather than intraparticle diffusion. The estimated thermodynamic parameters ΔG0, ΔH0 and ΔS0 revealed that the biosorption of both As(III) and As(V) on the composite was feasible, spontaneous and exothermic.