A non-volatile random access memory (NV-RAM) and an operation method thereof are provided. The NV-RAM includes a latch unit, a switch, and a first to fourth non-volatile memory elements. First terminals of the first and the third non-volatile memory elements respectively couple to a first voltage and a second voltage. A second terminal of the first non-volatile memory element and a first terminal of the second non-volatile memory element are coupled to a first terminal of the latch unit. A second terminal of the third non-volatile memory element and a first terminal of the fourth non-volatile memory element are coupled to a second terminal of the latch unit. Second terminals of the second and the fourth non-volatile memory element are coupled to a first terminal of the switch. A second terminal of the switch is coupled to a third voltage.