A circuit for controlling leakage current in random access memory devices comprises a pre-charge equalization circuit. The pre-charge equalization circuit provides a pre-charge voltage to a pair of complementary bit lines of a memory cell of a random access memory device in accordance with a pre-charge signal. When the memory cell is in a self-refresh mode, the pre-charge signal is activated by a periodically triggered pre-charge request and also activated before and after the memory cell is self-refreshed.