In this Letter, we report on the successful optical storage of orbital angular momentum (OAM) using Rydberg electromagnetically induced transparency (EIT) in cold rubidium atoms. With a storage time of 1.4 μs, the retrieved structure is highly similar, showing the ability of storing light’s OAM at a principal quantum number of 20. The results at higher principal quantum numbers (n=25,30) are also measured. These results show the promise of image processing based on a Rydberg atomic system.