In the past few decades, organic/polymeric electronic devices have been intensively studied due to their flexibility, low cost, easy fabrication and printing capability. Moreover, the demand for inexpensive and high density data storage media has increased with the rapid growth in information technology. Recent reports on electrical memory properties using conjugated polymers have shown relevant performance for volatile/non-volatile memory applications. This chapter pays attention to the design and development of conjugated polymeric materials and their performance in corresponding memory devices over the past few years and a possible switching mechanism is proposed.