Example embodiments relate to a method of fabricating a synapse memory device capable of being driven at a low voltage and realizing a multi-level memory. The synapse memory device includes a two-transistor structure in which a drain region of a first transistor including a memory layer and a first source region of a second transistor share a source-drain shared area. The synapse memory device is controlled by applying a voltage through the source-drain shared area. The memory layer includes a charge trap layer and a threshold switching layer, and may realize a non-volatile multi-level memory function.