State of the art microprocessor systems usually include complex hierarchy of a cache memory. Coherence protocols are used to maintain memory consistency. An implementation of memory subsystem in HDL (hardware description language) is complex and error-prone task. Ensuring the correct functioning of the memory subsystem is one of the cornerstones of a modern microprocessor systems development. Functional verification is used for this purpose. In this paper, we present some approaches for verification of memory subsystem units of multi-core microprocessors. We describe characteristics of memory subsystems that need to be taken into account in the process of verification. General structure of test environment for stand-alone verification of memory subsystem units is presented. Classification of checking model types and their advantages and disadvantages are described. The approach of construction of a standalone verification environment using Universal Verification Methodology (UVM) is presented in the paper. Restrictions that should be taken into account when verifying memory subsystem unit are listed. The generation stimulus algorithm stages are presented. Method of using "hints" from design under verification to eliminate nondeterminism is used in the implementation of checking module. We review several other techniques for checking the correctness of memory subsystem units, which can be useful at different stages of project development. A case study of applying the suggested approaches for verification of Home Memory Unit of microprocessors with Elbrus architecture is presented. Classification of detected and corrected errors in different submodules of verified device is provided. Further plan of the test system enhancement is presented.