An asset name is the name by which an asset is known.
Most asset registers allow for an asset name to be recorded against each asset.
Some assets may have an official name, but in many cases only a semi-official or unofficial name exists.
Roads and parks are typically assigned an official name, but this doesn't necessarily mean that individual road or park assets have an official name, because roads are typically broken up into a number of segments, and parks typically contain a range of different assets.
Even though all assets should be identifiable via a unique asset id, asset names serve an important purpose. They are usually easier for humans to remember and process.
Image: Epping Memorial Hall (with prominent asset name).