The pH values of nuclear wastewater are extremely low or high, which make the efficient removal of 137Cs a major concern among the issues for safety management and environmental remediation. Existing metal sulfides for Cs+ adsorption have shown poor performance at acidic and alkaline conditions, and the reason has not been revealed yet. Herein, a novel potassium aluminum thiostannate (KAlSnS-3) adsorbent was designed and its Cs+ adsorption mechanism over a wide pH range was investigated. We hypothesized that Al3+ dopant on Sn4+ sites would allow stable adsorption for Cs+ upon its partial release at acidic and alkaline conditions. As a result, KAlSnS-3 demonstrated excellent adsorption performance across a broad pH range (1–13), and high selectivity toward Cs+, even under high salinity conditions (in tap water Kd = 3.12 × 104 mL/g; and in artificial seawater Kd = 3.42 × 103 mL/g). KAlSnS-3 also exhibited rapid adsorption kinetics (R = 97.6% in the first minute), a remarkable adsorption capacity (259.31 mg/g), and a high distribution coefficient (2.09 × 105 mL/g) toward Cs+. In addition, the high reusability of KAlSnS-3 was observed, suggesting its potential for real-world applications. The mechanism for enhancing performance at low and high pH values was discussed with the evidence of crystallinity, elemental concentrations, and binding energy of electrons based on the concept of electrostatic interactions and chemical affinity. In summary, this work provides insights into the mechanism of Cs+ removal under a wide pH range, and the impressive Cs+ adsorption performance indicates the application potential of KAlSnS-3 in wastewater treatment.