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This study investigated the performance of a granular filtration system (GFS) composed of a rock filter (RF), a rapid sand filter (RSF), and an activated carbon filter (ACF), applied to the post-treatment of an anaerobic reactor effluent. Four filtration rates (FR) were applied to the GFS (in m 3 ·m -2 ·d -1 ): 100-60-60, 100-90-90, 200-120-120, and 200-160-160, for RF-RSF-ACF, respectively. A clarified final effluent with low turbidity (~ 10 NTU), solids (~ 6.5 mg TSS.L -1 ), and organic matter content (~ 40 mg COD.L -1 ) was obtained when the GFS worked with FR up to 100-90-90 m 3 ·m -2 ·d -1 . For higher FR, the effluent quality was a little poorer. Principal component analysis showed when the RSF operated at 120 or 160 m 3 ·m -2 ·d -1 , it presented an effluent with higher turbidity which did not affect negatively the ACF performance. The hydraulic load limits in the RSF were reached in periods of 45, 30, and 24.5 h for the FR of 60, 120, and 160 m 3 ·m -2 ·d -1 , respectively, and head loss analysis depicted a more distributed solid retention through the sand depth with the lower FR. Thus, the results revealed that the RF-RSF-ACS system is a promising alternative for effluent polishing of anaerobic reactor, especially when the FR is set at 90 m 3 ·m -2 ·d -1 or even higher., (© 2023. The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.)