Mobile Transparent Computing System (MTCS) is an implementation of Transparent Computing (TC). Operating systems, applications and users' data are regarded as resources and stored in the TC servers. Clients of MTCS can get various services from TC servers through Internet. Network bandwidth is one of the most important factors that impact the performance of MTCS. This paper proposes a two-level cooperative caching strategy working on local terminals, named TC-CCS (Transparent Computing Cooperative Caching Strategy). The first level cache is the local cache of each terminal, which stores common personal data to avoid data fetching from TC server. The second level cache is P2P cache, which stores OSes and software served for users in local network. A replacement algorithm TCRA, combined with multi-queue of LRU and LFU, is proposed to improve data hit rate. The experimental results show that TC-CCS can reduce 40% of OS's startup time and the response time of software can be reduced to 34% if the bandwidth is close to 1MB/s.