It is very easy to represent connected data.
It is very easy and faster to retrieve/traversal/navigation of more Connected data.
It represents semi-structured data very easily.
Neo4j CQL query language commands are in humane readable format and very easy to learn.
It uses simple and powerful data model.
It does NOT require complex Joins to retrieve connected/related data as it is very easy to retrieve it's adjacent node or relationship details without Joins or Indexes.