CO J = 1-0 mapping observations of the dark nebula Lynds 227, which is poss
ibly associated with the unidentified EGRET source 2EG J1811-2339, are pres
ented. We detected a large amount of molecular gas along Lynds 227 with a t
otal mass of (1-2) x 10(4) M-circle dot surrounding an X-ray synchrotron ne
bula, which was detected by the ASCA within the error circle of 2EG J1811-2
339. Molecular gas along Lynds 227 shows spatial anticorrelation with the X
-ray synchrotron nebula, suggesting that the synchrotron nebula is interact
ing with the Lynds 227 cloud. We propose a gamma-ray emission mechanism for
2EG J1811-2339: high-energy electrons are injected from a rotation-powered
pulsar and further accelerated in shock waves generated by the interaction
with ambient matter. The high-energy electrons move into the molecular clo
ud at the Lynds 227 and collide with dense interstellar matter to yield hig
h-energy gamma-ray photons, mainly through relativistic bremsstrahlung.