In modern system-on-chips (SOCs), static power consumption represents a significant portion of the chip power. Since static random access memory (SRAM) typically occupies more than one half of the chip area, static power of a SOC is mainly constituted by the SRAMs. Resistive nonvolatile-8T (Rnv8T) SRAM has been proposed to alleviate static power and preserve data in power-down mode and provide fast poweron speed. A Rnv8T SRAM cell is composed of a 6T SRAM cell, two resistive devices, and two transistors. In this paper, we define several memristor-related faults for the Rnv8T SRAM considering electrical defects. Also, a March-like test algorithm which can cover simple SRAM faults and defined memristor-related faults are proposed. In comparison with the existing work, the proposed March-like test needs longer test time, but provides better fault coverage on the targeted faults.