Graphene has been attracting great attention from scientific community due to its astonishing mechanical, optical, and electrical properties, especially, graphene films synthesized by chemical vapor deposition (CVD) method are large, uniform and high-quality. CVD-grown graphene films have been successfully transferred onto various kinds of substrates such as SiO2/Si, quartz, PET, and plastics. However, graphene transfer onto polydimethylsiloxane (PDMS) substrates for device development has been limited due to the very low surface energy of PDMS. Here, we present a novel method to transfer graphene onto PDMS substrates by utilizing a thin layer of SU-8 as an adhesion layer. The SU-8 adhesion layer significantly improves the adhesion between the graphene layer and the PDMS substrate resulting in successful graphene transfer onto the PDMS substrate. This opens up a great potential of using graphene on PDMS substrates for the development of a wide range of graphene-based transparent and flexible devices.