Apparatuses and methods for trusted module execution are proposed, which provide secure boot and trusted execution of system software by using the China commercial cryptography algorithms to establish the SRTM/DRTM. Conventionally, the Intel TXT which uses RSA or SHA-256 cryptography algorithms only authenticates the trusted modules. By contrast, the present application uses the China commercial cryptography algorithms and is able to authenticate the trusted modules and their digital certificates or certificate chains (which has a higher security level than just authenticating the digital certificates).