It is endemic to Australia, where it occurs in Victoria and Tasmania.

Dolomedes eberhardarum was described by Embrik Strand in 1913 based on a male type specimen collected in Victoria.

The name Tasmomedes is a combination of the words Tasmania and Dolomedes, referring to the former placement of T. eberhardarum in Dolomedes and to its prescence on the island of Tasmania.

[3] The type specimen is stored in the collection of the Museum Wiesbaden in Germany.

In Tasmania it has been found in buttongrass moorland where no flowing water is present.