The organic electronic devices have been widely investigated in both academia and industry due to their advantages of low cost, large area, and flexibility etc. The organic nonvolatile memory is one of the important organic devices. In this paper, we will first explain the working principles of the floating gate type organic nonvolatile memory. Then we will introduce some recent progresses of the floating gate organic nonvolatile memories. Finally the existing challenges and possible solutions for their low voltage, high reliability operations were discussed.