Flexible materials have made remarkable development in recent years and are widely used in various fields such as flexible sensors and wearable devices. Existing flexible sensors, wearable devices, flexible electronics and other devices, however, still have problems such as low precision and poor mechanical properties. The emergence of graphene provides a new idea to solve these problems. The composite of graphene, which has excellent electrical conductivity, mechanical strength and flexibility, with polymer materials can improve its electrical and mechanical properties without affecting the flexibility of the materials. In this paper, we mainly introduce the relevant properties of graphene and polymer materials, list the common composite preparation methods of graphene and polymer materials, and the current status of graphene polymer composites. At this stage, graphene polymer composites are widely used in flexible electronics, wearable devices, sensors, folding screens, etc., but there are still some properties that need to be improved and enhanced