The advancement of 6G technology has accelerated the intelligent integration of Cyber-Physical-Social Systems (CPSS) and significantly supports efficient interactions among intelligent entities. The broader connectivity, increased device density, and enhanced data exchange pose trustworthy challenges for device management and multi-party computing in 6G-empowered CPSS. To address these challenges, this paper proposes an architecture named Trust-6GCPSS using 6G mobile networks, artificial intelligence, and CPSS technologies. Trust-6GCPSS deploys the sensing device trustworthy evaluation algorithm to ensure trusted device management and designs the multi-party parameter-sharing model to prevent privacy leakage during computing. Besides, the application scenarios and challenges of the proposed Trust-6GCPSS are discussed. Lastly, Trust-6GCPSS is demonstrated to offer more trustworthy and reliable services through simulation experiments in a specific intelligent transportation case.