The invention relates to a method for establishing an access by fusing multiple levels of cache directories, and a graded fused hierarchical cache directory mechanism is established. The method comprising the steps that multiple CPU and GPU processors form a Quart computing element, a Cuckoo directory is established in a graded way in caches built in the CPU or GPU processors, an area directory and an area directory controller are established outside the Quart computing element, thus the bus communication bandwidth is effectively reduced, the arbitration conflict frequency is lowered, a data block directory of a three-level fusion Cache can be cached, and thus the access hit rate of the three-level fusion Cache is improved. Therefore a graded fused hierarchical Cache directory mechanism inside and outside the Quart is constructed, the Cache failure rate is lowered, the on-chip bus bandwidth is reduced, the power consumption of the system is lowered, the new status of the Cache block does not need to be added, the very good compatibility with the Cache consistency protocol is realized, and a new train of thought is provided for constructing a heterogeneous monolithic multi-core processor system with extensibility and high performance.