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Field programmable gate array(FPGA) has a wide application in signal processing, hardware accelerating and chip prototype verification because of its rich on-chip resources, flexibility and programmability. As a major resource in FPGA, block random access memory(BRAM) has the characteristic of high speed and high-capacity. To solve the critical timing convergence in high speed BRAM, function verification method for high speed BRAM based on cross timing domain has been proposed. The presented method has been verified by functional simulation and using FPGA. Experiment result has shown that the proposed approach can meet the functional verification of high speed BRAM up to 640 MHz，and it has the feature of modularization which can be easily constructed to test BRAM of high-capacity.