A design for a memory array that uses bi-directional write currents and that avoids switched ground connections for memory cells, thereby reducing signal loss and noise problems is described. Positive and negative current sources are provided to supply the bi-directional current that is used to write to a memory cell. These current sources may be selectively connected to bit lines that are electrically connected to the memory cells. Applying a positive current, from the positive current source, through a memory cell writes a "1", and applying a negative current, from the negative current source, through a memory cell writes a "0". Use of both a positive and a negative current source enables writing to the memory cells without relying on a switched ground connection to provide bi-directional current. This permits a ground connection of each memory cell to be connected to a fixed ground. An example in which this design is used with a spin injection magneto-resistive random access memory (MRAM) device is shown.