I/O system software stack is an important factor that affects the efficiency of NVM (Non-Volatile Memory) storage system. For NVM storage systems with unbalanced read/write speeds and limited writing lifetimes, new synchronous and asynchronous converged access management strategy was designed. While an asynchronous write cache was implemented by DRAM for the write access to large data, synchronous management strategy was still used for the read access and the write access to small data. Addressing large time overhead of address translation for NVM storage systems by conflict among cores in a computer with multi-core processor, a new address translation cache was designed for multi-core processor to reduce time overhead of address translation. Finally, a prototype of Concurrent NVM Storage system (CNVMS) was implemented, and the universal testing tools were used to test performance of random reads writes, sequential reads writes, mixed reads/writes and with actual application workload. The experimental results show that the proposed strategy increases read and write speed by 1%-22% and IOPS (Input/Output operations Per Second) by 9%-15% compared with PMBD (Persistent Memory Block Driver), which verifies that CNVMS strategy can provide higher I/O performance and better access request processing speed.