Constructing　a　quantum　memory　for　a　photonic　entanglement　is　vital　for　realizing　quantum　communication　and　network.　Because　of　the　inherent　infinite　dimension　of　orbital　angular　momentum　(OAM),　the　photon＇s　OAM　has　the　potential　for　encoding　a　photon　in　a　high-dimensional　space,　enabling　the　realization　of　high　channel　capacity　communication.　Photons　entangled　in　orthogonal　polarizations　or　optical　paths　had　been　stored　in　a　different　system,　but　there　have　been　no　reports　on　the　storage　of　a　photon　pair　entangled　in　OAM　space.　Here,　we　report　the　first　experimental　realization　of　storing　an　entangled　OAM　state　through　the　Raman　protocol　in　a　cold　atomic　ensemble.　We　reconstruct　the　density　matrix　of　an　OAM　entangled　state　with　a　fidelity　of　90.3%　+/-　0.8%　and　obtain　the　Clauser-Horne-Shimony-Holt　inequality　parameter　S　of　2.41　+/-　0.06　after　a　programed　storage　time.　All　results　clearly　show　the　preservation　of　entanglement　during　the　storage.