Biogas production using high solids feeding anaerobic digestion has several benefits, including higher treatment capacity, lower energy requirements, and reduced volume of digestate. However, when chicken manure is used as a substrate, the process is prone to reactor instability due to ammonia inhibition. This study investigated the performance of three laboratory-scale anaerobic systems fed by chicken manure with total solids (TS) up to 15%, giving rise to total ammonia nitrogen (TAN) concentration of 7.5 g/L. The tolerance of the anaerobic system to ammonia inhibition was evaluated by operating three organic loading rates (OLR) in the range of 1.5–4.5 g-volatile solids (VS)/(L·d). The results showed that methane yield reached 0.33 L/g·VS under an OLR of 1.5 g-VS/(L·d), comparable to conventional wet-type process performance. The total volatile fatty acids (VFAs) were below 0.5 g/L, indicating a highly acceptable performance. The digestive performance deteriorated when the OLR was increased to 4.5 g-VS/(L·d) and highlighted the importance of selecting an appropriate OLR. The result may support the adoption of high solids feeding anaerobic treatment for nitrogen-rich materials.