The concurrency control mechanism in the multi-level DBMS is required to promise the serializability of transactions and the multi-level security properties, avoid possible covert channels and the starving problem of high-level transactions. The multi-level multi-version timestamp ordering mechanisms satisfy these requirements but may cause transactions read old version data, and the scheduler is required to be a trusted process. This paper presents a multi-level multi-version global timestamp ordering (MLS_MVGTO) mechanism and the basic global timestamps generation steps based on the transaction's snapshot. This paper also presents two improvements according to the pre-knowledge of the read-only transactions. In addition it can be implemented as a set of untrusted schedulers. Given the pre-knowledge about transactions' operations, transactions are able to read more recent version.